数学
         
语言:中文    Language:English
求导函数:
    输入一个原函数(即需要求导的函数),然后设置需要求导的变量和求导的阶数,点击“下一步”按钮,即可获得该函数相应阶数的导函数。
    注意,输入的函数支持数学函数和其它常量。
    当前位置:求导函数 > 导函数计算历史 > 答案

    本次共计算 1 个题目:每一题对 x 求 10 阶导数。
    注意,变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数log_{log_{2}^{x}}^{log_{x}^{2}} 关于 x 的 10 阶导数:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ \\ &\color{blue}{函数的 10 阶导数:} \\=&\frac{362880}{x^{10}ln(x)ln(log_{2}^{x})} + \frac{1026576}{x^{10}ln^{2}(x)ln(log_{2}^{x})} + \frac{1026576}{x^{10}log(2, x)ln(x)ln(2)ln^{2}(log_{2}^{x})} + \frac{2345400}{x^{10}ln^{3}(x)ln(log_{2}^{x})} + \frac{2345400}{x^{10}log(2, x)ln^{2}(x)ln(2)ln^{2}(log_{2}^{x})} + \frac{2345400}{x^{10}{\left(log(2, x)^{2}ln^{2}(2)ln(x)ln^{2}(log_{2}^{x})} + \frac{4690800}{x^{10}{\left(log(2, x)^{2}ln(x)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{4342080}{x^{10}ln^{4}(x)ln(log_{2}^{x})} + \frac{4342080}{x^{10}log(2, x)ln^{3}(x)ln(2)ln^{2}(log_{2}^{x})} + \frac{2171040}{x^{10}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(x)ln^{2}(log_{2}^{x})} + \frac{5789440}{x^{10}{\left(log(2, x)^{2}ln^{2}(x)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{4342080}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln(x)ln^{2}(log_{2}^{x})} + \frac{1447360}{x^{10}{\left(log(2, x)^{2}ln^{2}(x)ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{2894720}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})ln(x)} + \frac{8684160}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln(x)ln^{3}(log_{2}^{x})} + \frac{8684160}{x^{10}{\left(log(2, x)^{3}ln(x)ln^{3}(2)ln^{4}(log_{2}^{x})} + \frac{6463800}{x^{10}ln^{5}(x)ln(log_{2}^{x})} + \frac{6463800}{x^{10}log(2, x)ln^{4}(x)ln(2)ln^{2}(log_{2}^{x})} + \frac{2154600}{x^{10}{\left(log(2, x)^{2}ln^{2}(2)ln^{3}(x)ln^{2}(log_{2}^{x})} + \frac{7541100}{x^{10}{\left(log(2, x)^{2}ln^{3}(x)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{3231900}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(x)ln^{2}(log_{2}^{x})} + \frac{2693250}{x^{10}{\left(log(2, x)^{2}ln^{3}(x)ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{1615950}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})ln^{2}(x)} + \frac{6463800}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(x)ln^{3}(log_{2}^{x})} + \frac{9695700}{x^{10}{\left(log(2, x)^{3}ln^{2}(x)ln^{3}(2)ln^{4}(log_{2}^{x})} + \frac{6463800}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln(x)ln^{2}(log_{2}^{x})} + \frac{1615950}{x^{10}{\left(log(2, x)^{3}ln^{2}(x)ln^{3}(2)ln^{2}(log_{2}^{x})} + \frac{6463800}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{3}(log_{2}^{x})ln(x)} + \frac{2693250}{x^{10}{\left(log(2, x)^{3}ln^{2}(x)ln^{3}(log_{2}^{x})ln^{3}(2)} + \frac{12927600}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{4}(log_{2}^{x})ln(x)} + \frac{1077300}{x^{10}{\left(log(2, x)^{3}ln^{3}(log_{2}^{x})ln^{3}(2)ln^{2}(x)} + \frac{16159500}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln(x)ln^{3}(log_{2}^{x})} + \frac{4309200}{x^{10}{\left(log(2, x)^{3}ln^{2}(x)ln^{3}(2)ln^{3}(log_{2}^{x})} + \frac{19391400}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln(x)ln^{4}(log_{2}^{x})} + \frac{19391400}{x^{10}{\left(log(2, x)^{4}ln(x)ln^{5}(log_{2}^{x})ln^{4}(2)} + \frac{7592760}{x^{10}ln^{6}(x)ln(log_{2}^{x})} + \frac{7592760}{x^{10}log(2, x)ln^{5}(x)ln(2)ln^{2}(log_{2}^{x})} + \frac{1898190}{x^{10}{\left(log(2, x)^{2}ln^{2}(2)ln^{4}(x)ln^{2}(log_{2}^{x})} + \frac{8352036}{x^{10}{\left(log(2, x)^{2}ln^{4}(x)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{2530920}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(x)ln^{2}(log_{2}^{x})} + \frac{3416742}{x^{10}{\left(log(2, x)^{2}ln^{4}(x)ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{1518552}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})ln^{3}(x)} + \frac{5061840}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(x)ln^{3}(log_{2}^{x})} + \frac{9870588}{x^{10}{\left(log(2, x)^{3}ln^{3}(x)ln^{3}(2)ln^{4}(log_{2}^{x})} + \frac{3796380}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{2}(x)ln^{2}(log_{2}^{x})} + \frac{2277828}{x^{10}{\left(log(2, x)^{3}ln^{3}(x)ln^{3}(2)ln^{2}(log_{2}^{x})} + \frac{3416742}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{3}(log_{2}^{x})ln^{2}(x)} + \frac{2530920}{x^{10}{\left(log(2, x)^{3}ln^{3}(x)ln^{3}(log_{2}^{x})ln^{3}(2)} + \frac{6453846}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{4}(log_{2}^{x})ln^{2}(x)} + \frac{759276}{x^{10}{\left(log(2, x)^{3}ln^{3}(log_{2}^{x})ln^{3}(2)ln^{3}(x)} + \frac{9490950}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{2}(x)ln^{3}(log_{2}^{x})} + \frac{5314932}{x^{10}{\left(log(2, x)^{3}ln^{3}(x)ln^{3}(2)ln^{3}(log_{2}^{x})} + \frac{11389140}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{2}(x)ln^{4}(log_{2}^{x})} + \frac{13666968}{x^{10}{\left(log(2, x)^{4}ln^{2}(x)ln^{5}(log_{2}^{x})ln^{4}(2)} + \frac{7592760}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln(x)ln^{2}(log_{2}^{x})} + \frac{1518552}{x^{10}{\left(log(2, x)^{4}ln^{2}(x)ln^{4}(2)ln^{2}(log_{2}^{x})} + \frac{9111312}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{3}(log_{2}^{x})ln(x)} + \frac{2151282}{x^{10}{\left(log(2, x)^{4}ln^{2}(x)ln^{3}(log_{2}^{x})ln^{4}(2)} + \frac{28093212}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{4}(log_{2}^{x})ln(x)} + \frac{1518552}{x^{10}{\left(log(2, x)^{4}ln^{3}(log_{2}^{x})ln^{4}(2)ln^{2}(x)} + \frac{7592760}{x^{10}{\left(log(2, x)^{4}ln^{2}(x)ln^{4}(2)ln^{4}(log_{2}^{x})} + \frac{30371040}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{5}(log_{2}^{x})ln(x)} + \frac{3037104}{x^{10}{\left(log(2, x)^{4}ln^{4}(log_{2}^{x})ln^{4}(2)ln^{2}(x)} + \frac{21765912}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln(x)ln^{3}(log_{2}^{x})} + \frac{4302564}{x^{10}{\left(log(2, x)^{4}ln^{2}(x)ln^{4}(2)ln^{3}(log_{2}^{x})} + \frac{5694570}{x^{10}{\left(log(2, x)^{4}ln^{2}(x)ln^{4}(log_{2}^{x})ln^{4}(2)} + \frac{33408144}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln(x)ln^{4}(log_{2}^{x})} + \frac{30371040}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln(x)ln^{5}(log_{2}^{x})} + \frac{22778280}{x^{10}{\left(log(2, x)^{5}ln(x)ln^{5}(2)ln^{6}(log_{2}^{x})} + \frac{6804000}{x^{10}ln^{7}(x)ln(log_{2}^{x})} + \frac{6804000}{x^{10}log(2, x)ln^{6}(x)ln(2)ln^{2}(log_{2}^{x})} + \frac{1360800}{x^{10}{\left(log(2, x)^{2}ln^{2}(2)ln^{5}(x)ln^{2}(log_{2}^{x})} + \frac{7257600}{x^{10}{\left(log(2, x)^{2}ln^{5}(x)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{1701000}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{4}(x)ln^{2}(log_{2}^{x})} + \frac{3175200}{x^{10}{\left(log(2, x)^{2}ln^{5}(x)ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{907200}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})ln^{4}(x)} + \frac{3402000}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{4}(x)ln^{3}(log_{2}^{x})} + \frac{8164800}{x^{10}{\left(log(2, x)^{3}ln^{4}(x)ln^{3}(2)ln^{4}(log_{2}^{x})} + \frac{2268000}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{3}(x)ln^{2}(log_{2}^{x})} + \frac{2154600}{x^{10}{\left(log(2, x)^{3}ln^{4}(x)ln^{3}(2)ln^{2}(log_{2}^{x})} + \frac{2230200}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{3}(log_{2}^{x})ln^{3}(x)} + \frac{2154600}{x^{10}{\left(log(2, x)^{3}ln^{4}(x)ln^{3}(log_{2}^{x})ln^{3}(2)} + \frac{4195800}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{4}(log_{2}^{x})ln^{3}(x)} + \frac{680400}{x^{10}{\left(log(2, x)^{3}ln^{3}(log_{2}^{x})ln^{3}(2)ln^{4}(x)} + \frac{5783400}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{3}(x)ln^{3}(log_{2}^{x})} + \frac{4762800}{x^{10}{\left(log(2, x)^{3}ln^{4}(x)ln^{3}(2)ln^{3}(log_{2}^{x})} + \frac{6804000}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{3}(x)ln^{4}(log_{2}^{x})} + \frac{9979200}{x^{10}{\left(log(2, x)^{4}ln^{3}(x)ln^{5}(log_{2}^{x})ln^{4}(2)} + \frac{3402000}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{2}(x)ln^{2}(log_{2}^{x})} + \frac{1587600}{x^{10}{\left(log(2, x)^{4}ln^{3}(x)ln^{4}(2)ln^{2}(log_{2}^{x})} + \frac{4082400}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{3}(log_{2}^{x})ln^{2}(x)} + \frac{1323000}{x^{10}{\left(log(2, x)^{4}ln^{3}(x)ln^{3}(log_{2}^{x})ln^{4}(2)} + \frac{12133800}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{4}(log_{2}^{x})ln^{2}(x)} + \frac{1020600}{x^{10}{\left(log(2, x)^{4}ln^{3}(log_{2}^{x})ln^{4}(2)ln^{3}(x)} + \frac{6804000}{x^{10}{\left(log(2, x)^{4}ln^{3}(x)ln^{4}(2)ln^{4}(log_{2}^{x})} + \frac{12474000}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{5}(log_{2}^{x})ln^{2}(x)} + \frac{1927800}{x^{10}{\left(log(2, x)^{4}ln^{4}(log_{2}^{x})ln^{4}(2)ln^{3}(x)} + \frac{9525600}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{2}(x)ln^{3}(log_{2}^{x})} + \frac{4195800}{x^{10}{\left(log(2, x)^{4}ln^{3}(x)ln^{4}(2)ln^{3}(log_{2}^{x})} + \frac{4082400}{x^{10}{\left(log(2, x)^{4}ln^{3}(x)ln^{4}(log_{2}^{x})ln^{4}(2)} + \frac{14742000}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{2}(x)ln^{4}(log_{2}^{x})} + \frac{13608000}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{2}(x)ln^{5}(log_{2}^{x})} + \frac{13608000}{x^{10}{\left(log(2, x)^{5}ln^{2}(x)ln^{5}(2)ln^{6}(log_{2}^{x})} + \frac{6804000}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln(x)ln^{2}(log_{2}^{x})} + \frac{1134000}{x^{10}{\left(log(2, x)^{5}ln^{2}(x)ln^{5}(2)ln^{2}(log_{2}^{x})} + \frac{9072000}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{3}(log_{2}^{x})ln(x)} + \frac{1398600}{x^{10}{\left(log(2, x)^{5}ln^{2}(x)ln^{3}(log_{2}^{x})ln^{5}(2)} + \frac{34813800}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{4}(log_{2}^{x})ln(x)} + \frac{1360800}{x^{10}{\left(log(2, x)^{5}ln^{3}(log_{2}^{x})ln^{5}(2)ln^{2}(x)} + \frac{6577200}{x^{10}{\left(log(2, x)^{5}ln^{2}(x)ln^{5}(2)ln^{4}(log_{2}^{x})} + \frac{59421600}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{5}(log_{2}^{x})ln(x)} + \frac{4195800}{x^{10}{\left(log(2, x)^{5}ln^{4}(log_{2}^{x})ln^{5}(2)ln^{2}(x)} + \frac{7484400}{x^{10}{\left(log(2, x)^{5}ln^{2}(x)ln^{5}(log_{2}^{x})ln^{5}(2)} + \frac{45360000}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{6}(log_{2}^{x})ln(x)} + \frac{4536000}{x^{10}{\left(log(2, x)^{5}ln^{5}(log_{2}^{x})ln^{5}(2)ln^{2}(x)} + \frac{21546000}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln(x)ln^{3}(log_{2}^{x})} + \frac{3477600}{x^{10}{\left(log(2, x)^{5}ln^{2}(x)ln^{5}(2)ln^{3}(log_{2}^{x})} + \frac{4025700}{x^{10}{\left(log(2, x)^{5}ln^{2}(x)ln^{4}(log_{2}^{x})ln^{5}(2)} + \frac{9525600}{x^{10}{\left(log(2, x)^{5}ln^{2}(x)ln^{5}(2)ln^{5}(log_{2}^{x})} + \frac{38556000}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln(x)ln^{4}(log_{2}^{x})} + \frac{45360000}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln(x)ln^{5}(log_{2}^{x})} + \frac{34020000}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln(x)ln^{6}(log_{2}^{x})} + \frac{27216000}{x^{10}{\left(log(2, x)^{6}ln(x)ln^{7}(log_{2}^{x})ln^{6}(2)} + \frac{4384800}{x^{10}ln^{8}(x)ln(log_{2}^{x})} + \frac{4384800}{x^{10}log(2, x)ln^{7}(x)ln(2)ln^{2}(log_{2}^{x})} + \frac{730800}{x^{10}{\left(log(2, x)^{2}ln^{2}(2)ln^{6}(x)ln^{2}(log_{2}^{x})} + \frac{4593600}{x^{10}{\left(log(2, x)^{2}ln^{6}(x)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{876960}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{5}(x)ln^{2}(log_{2}^{x})} + \frac{2088000}{x^{10}{\left(log(2, x)^{2}ln^{6}(x)ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{501120}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})ln^{5}(x)} + \frac{1753920}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{5}(x)ln^{3}(log_{2}^{x})} + \frac{5011200}{x^{10}{\left(log(2, x)^{3}ln^{5}(x)ln^{3}(2)ln^{4}(log_{2}^{x})} + \frac{1096200}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{4}(x)ln^{2}(log_{2}^{x})} + \frac{1419840}{x^{10}{\left(log(2, x)^{3}ln^{5}(x)ln^{3}(2)ln^{2}(log_{2}^{x})} + \frac{1033560}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{3}(log_{2}^{x})ln^{4}(x)} + \frac{1378080}{x^{10}{\left(log(2, x)^{3}ln^{5}(x)ln^{3}(log_{2}^{x})ln^{3}(2)} + \frac{1910520}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{4}(log_{2}^{x})ln^{4}(x)} + \frac{334080}{x^{10}{\left(log(2, x)^{3}ln^{3}(log_{2}^{x})ln^{3}(2)ln^{5}(x)} + \frac{2850120}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{4}(x)ln^{3}(log_{2}^{x})} + \frac{3048480}{x^{10}{\left(log(2, x)^{3}ln^{5}(x)ln^{3}(2)ln^{3}(log_{2}^{x})} + \frac{3288600}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{4}(x)ln^{4}(log_{2}^{x})} + \frac{5762880}{x^{10}{\left(log(2, x)^{4}ln^{4}(x)ln^{5}(log_{2}^{x})ln^{4}(2)} + \frac{1461600}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{3}(x)ln^{2}(log_{2}^{x})} + \frac{1064880}{x^{10}{\left(log(2, x)^{4}ln^{4}(x)ln^{4}(2)ln^{2}(log_{2}^{x})} + \frac{1865280}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{3}(log_{2}^{x})ln^{3}(x)} + \frac{762120}{x^{10}{\left(log(2, x)^{4}ln^{4}(x)ln^{3}(log_{2}^{x})ln^{4}(2)} + \frac{5522760}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{4}(log_{2}^{x})ln^{3}(x)} + \frac{615960}{x^{10}{\left(log(2, x)^{4}ln^{3}(log_{2}^{x})ln^{4}(2)ln^{4}(x)} + \frac{4353480}{x^{10}{\left(log(2, x)^{4}ln^{4}(x)ln^{4}(2)ln^{4}(log_{2}^{x})} + \frac{5595840}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{5}(log_{2}^{x})ln^{3}(x)} + \frac{1158840}{x^{10}{\left(log(2, x)^{4}ln^{4}(log_{2}^{x})ln^{4}(2)ln^{4}(x)} + \frac{4162080}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{3}(x)ln^{3}(log_{2}^{x})} + \frac{2777040}{x^{10}{\left(log(2, x)^{4}ln^{4}(x)ln^{4}(2)ln^{3}(log_{2}^{x})} + \frac{2442960}{x^{10}{\left(log(2, x)^{4}ln^{4}(x)ln^{4}(log_{2}^{x})ln^{4}(2)} + \frac{6514560}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{3}(x)ln^{4}(log_{2}^{x})} + \frac{5846400}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{3}(x)ln^{5}(log_{2}^{x})} + \frac{7099200}{x^{10}{\left(log(2, x)^{5}ln^{3}(x)ln^{5}(2)ln^{6}(log_{2}^{x})} + \frac{2192400}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{2}(x)ln^{2}(log_{2}^{x})} + \frac{835200}{x^{10}{\left(log(2, x)^{5}ln^{3}(x)ln^{5}(2)ln^{2}(log_{2}^{x})} + \frac{3132000}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{3}(log_{2}^{x})ln^{2}(x)} + \frac{549840}{x^{10}{\left(log(2, x)^{5}ln^{3}(x)ln^{3}(log_{2}^{x})ln^{5}(2)} + \frac{11651040}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{4}(log_{2}^{x})ln^{2}(x)} + \frac{751680}{x^{10}{\left(log(2, x)^{5}ln^{3}(log_{2}^{x})ln^{5}(2)ln^{3}(x)} + \frac{4290840}{x^{10}{\left(log(2, x)^{5}ln^{3}(x)ln^{5}(2)ln^{4}(log_{2}^{x})} + \frac{19272240}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{5}(log_{2}^{x})ln^{2}(x)} + \frac{2234160}{x^{10}{\left(log(2, x)^{5}ln^{4}(log_{2}^{x})ln^{5}(2)ln^{3}(x)} + \frac{3883680}{x^{10}{\left(log(2, x)^{5}ln^{3}(x)ln^{5}(log_{2}^{x})ln^{5}(2)} + \frac{14094000}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{6}(log_{2}^{x})ln^{2}(x)} + \frac{2296800}{x^{10}{\left(log(2, x)^{5}ln^{5}(log_{2}^{x})ln^{5}(2)ln^{3}(x)} + \frac{6629400}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{2}(x)ln^{3}(log_{2}^{x})} + \frac{2415120}{x^{10}{\left(log(2, x)^{5}ln^{3}(x)ln^{5}(2)ln^{3}(log_{2}^{x})} + \frac{1900080}{x^{10}{\left(log(2, x)^{5}ln^{3}(x)ln^{4}(log_{2}^{x})ln^{5}(2)} + \frac{5762880}{x^{10}{\left(log(2, x)^{5}ln^{3}(x)ln^{5}(2)ln^{5}(log_{2}^{x})} + \frac{11666700}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{2}(x)ln^{4}(log_{2}^{x})} + \frac{14094000}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{2}(x)ln^{5}(log_{2}^{x})} + \frac{10962000}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{2}(x)ln^{6}(log_{2}^{x})} + \frac{10022400}{x^{10}{\left(log(2, x)^{6}ln^{2}(x)ln^{7}(log_{2}^{x})ln^{6}(2)} + \frac{4384800}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln(x)ln^{2}(log_{2}^{x})} + \frac{626400}{x^{10}{\left(log(2, x)^{6}ln^{2}(x)ln^{6}(2)ln^{2}(log_{2}^{x})} + \frac{6264000}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{3}(log_{2}^{x})ln(x)} + \frac{685560}{x^{10}{\left(log(2, x)^{6}ln^{2}(x)ln^{3}(log_{2}^{x})ln^{6}(2)} + \frac{27686880}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{4}(log_{2}^{x})ln(x)} + \frac{835200}{x^{10}{\left(log(2, x)^{6}ln^{3}(log_{2}^{x})ln^{6}(2)ln^{2}(x)} + \frac{4196880}{x^{10}{\left(log(2, x)^{6}ln^{2}(x)ln^{6}(2)ln^{4}(log_{2}^{x})} + \frac{59842080}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{5}(log_{2}^{x})ln(x)} + \frac{3205080}{x^{10}{\left(log(2, x)^{6}ln^{4}(log_{2}^{x})ln^{6}(2)ln^{2}(x)} + \frac{4426560}{x^{10}{\left(log(2, x)^{6}ln^{2}(x)ln^{5}(log_{2}^{x})ln^{6}(2)} + \frac{73288800}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{6}(log_{2}^{x})ln(x)} + \frac{5470560}{x^{10}{\left(log(2, x)^{6}ln^{5}(log_{2}^{x})ln^{6}(2)ln^{2}(x)} + \frac{7934400}{x^{10}{\left(log(2, x)^{6}ln^{2}(x)ln^{6}(2)ln^{6}(log_{2}^{x})} + \frac{43848000}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{7}(log_{2}^{x})ln(x)} + \frac{4176000}{x^{10}{\left(log(2, x)^{6}ln^{6}(log_{2}^{x})ln^{6}(2)ln^{2}(x)} + \frac{15012720}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln(x)ln^{3}(log_{2}^{x})} + \frac{2067120}{x^{10}{\left(log(2, x)^{6}ln^{2}(x)ln^{6}(2)ln^{3}(log_{2}^{x})} + \frac{2166300}{x^{10}{\left(log(2, x)^{6}ln^{2}(x)ln^{4}(log_{2}^{x})ln^{6}(2)} + \frac{6431040}{x^{10}{\left(log(2, x)^{6}ln^{2}(x)ln^{6}(2)ln^{5}(log_{2}^{x})} + \frac{6681600}{x^{10}{\left(log(2, x)^{6}ln^{2}(x)ln^{6}(log_{2}^{x})ln^{6}(2)} + \frac{30098520}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln(x)ln^{4}(log_{2}^{x})} + \frac{41718240}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln(x)ln^{5}(log_{2}^{x})} + \frac{40716000}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln(x)ln^{6}(log_{2}^{x})} + \frac{26308800}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln(x)ln^{7}(log_{2}^{x})} + \frac{17539200}{x^{10}{\left(log(2, x)^{7}ln(x)ln^{7}(2)ln^{8}(log_{2}^{x})} + \frac{1814400}{x^{10}ln^{9}(x)ln(log_{2}^{x})} + \frac{1814400}{x^{10}log(2, x)ln^{8}(x)ln(2)ln^{2}(log_{2}^{x})} + \frac{259200}{x^{10}{\left(log(2, x)^{2}ln^{2}(2)ln^{7}(x)ln^{2}(log_{2}^{x})} + \frac{1879200}{x^{10}{\left(log(2, x)^{2}ln^{7}(x)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{302400}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{6}(x)ln^{2}(log_{2}^{x})} + \frac{874800}{x^{10}{\left(log(2, x)^{2}ln^{7}(x)ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{162000}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})ln^{6}(x)} + \frac{604800}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{6}(x)ln^{3}(log_{2}^{x})} + \frac{2008800}{x^{10}{\left(log(2, x)^{3}ln^{6}(x)ln^{3}(2)ln^{4}(log_{2}^{x})} + \frac{362880}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{5}(x)ln^{2}(log_{2}^{x})} + \frac{594000}{x^{10}{\left(log(2, x)^{3}ln^{6}(x)ln^{3}(2)ln^{2}(log_{2}^{x})} + \frac{347760}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{3}(log_{2}^{x})ln^{5}(x)} + \frac{572400}{x^{10}{\left(log(2, x)^{3}ln^{6}(x)ln^{3}(log_{2}^{x})ln^{3}(2)} + \frac{641520}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{4}(log_{2}^{x})ln^{5}(x)} + \frac{129600}{x^{10}{\left(log(2, x)^{3}ln^{3}(log_{2}^{x})ln^{3}(2)ln^{6}(x)} + \frac{959040}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{5}(x)ln^{3}(log_{2}^{x})} + \frac{1252800}{x^{10}{\left(log(2, x)^{3}ln^{6}(x)ln^{3}(2)ln^{3}(log_{2}^{x})} + \frac{1088640}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{5}(x)ln^{4}(log_{2}^{x})} + \frac{2229120}{x^{10}{\left(log(2, x)^{4}ln^{5}(x)ln^{5}(log_{2}^{x})ln^{4}(2)} + \frac{453600}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{4}(x)ln^{2}(log_{2}^{x})} + \frac{447120}{x^{10}{\left(log(2, x)^{4}ln^{5}(x)ln^{4}(2)ln^{2}(log_{2}^{x})} + \frac{571320}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{3}(log_{2}^{x})ln^{4}(x)} + \frac{304560}{x^{10}{\left(log(2, x)^{4}ln^{5}(x)ln^{3}(log_{2}^{x})ln^{4}(2)} + \frac{1679940}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{4}(log_{2}^{x})ln^{4}(x)} + \frac{213840}{x^{10}{\left(log(2, x)^{4}ln^{3}(log_{2}^{x})ln^{4}(2)ln^{5}(x)} + \frac{1794960}{x^{10}{\left(log(2, x)^{4}ln^{5}(x)ln^{4}(2)ln^{4}(log_{2}^{x})} + \frac{1671840}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{5}(log_{2}^{x})ln^{4}(x)} + \frac{395280}{x^{10}{\left(log(2, x)^{4}ln^{4}(log_{2}^{x})ln^{4}(2)ln^{5}(x)} + \frac{1321920}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{4}(x)ln^{3}(log_{2}^{x})} + \frac{1168560}{x^{10}{\left(log(2, x)^{4}ln^{5}(x)ln^{4}(2)ln^{3}(log_{2}^{x})} + \frac{978480}{x^{10}{\left(log(2, x)^{4}ln^{5}(x)ln^{4}(log_{2}^{x})ln^{4}(2)} + \frac{2086560}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{4}(x)ln^{4}(log_{2}^{x})} + \frac{1814400}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{4}(x)ln^{5}(log_{2}^{x})} + \frac{2592000}{x^{10}{\left(log(2, x)^{5}ln^{4}(x)ln^{5}(2)ln^{6}(log_{2}^{x})} + \frac{604800}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{3}(x)ln^{2}(log_{2}^{x})} + \frac{356400}{x^{10}{\left(log(2, x)^{5}ln^{4}(x)ln^{5}(2)ln^{2}(log_{2}^{x})} + \frac{914400}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{3}(log_{2}^{x})ln^{3}(x)} + \frac{195480}{x^{10}{\left(log(2, x)^{5}ln^{4}(x)ln^{3}(log_{2}^{x})ln^{5}(2)} + \frac{3389580}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{4}(log_{2}^{x})ln^{3}(x)} + \frac{289440}{x^{10}{\left(log(2, x)^{5}ln^{3}(log_{2}^{x})ln^{5}(2)ln^{4}(x)} + \frac{1794960}{x^{10}{\left(log(2, x)^{5}ln^{4}(x)ln^{5}(2)ln^{4}(log_{2}^{x})} + \frac{5559840}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{5}(log_{2}^{x})ln^{3}(x)} + \frac{856980}{x^{10}{\left(log(2, x)^{5}ln^{4}(log_{2}^{x})ln^{5}(2)ln^{4}(x)} + \frac{1503360}{x^{10}{\left(log(2, x)^{5}ln^{4}(x)ln^{5}(log_{2}^{x})ln^{5}(2)} + \frac{3985200}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{6}(log_{2}^{x})ln^{3}(x)} + \frac{868320}{x^{10}{\left(log(2, x)^{5}ln^{5}(log_{2}^{x})ln^{5}(2)ln^{4}(x)} + \frac{1843200}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{3}(x)ln^{3}(log_{2}^{x})} + \frac{1023840}{x^{10}{\left(log(2, x)^{5}ln^{4}(x)ln^{5}(2)ln^{3}(log_{2}^{x})} + \frac{725760}{x^{10}{\left(log(2, x)^{5}ln^{4}(x)ln^{4}(log_{2}^{x})ln^{5}(2)} + \frac{2306880}{x^{10}{\left(log(2, x)^{5}ln^{4}(x)ln^{5}(2)ln^{5}(log_{2}^{x})} + \frac{3285900}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{3}(x)ln^{4}(log_{2}^{x})} + \frac{4006800}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{3}(x)ln^{5}(log_{2}^{x})} + \frac{3024000}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{3}(x)ln^{6}(log_{2}^{x})} + \frac{3240000}{x^{10}{\left(log(2, x)^{6}ln^{3}(x)ln^{7}(log_{2}^{x})ln^{6}(2)} + \frac{907200}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{2}(x)ln^{2}(log_{2}^{x})} + \frac{291600}{x^{10}{\left(log(2, x)^{6}ln^{3}(x)ln^{6}(2)ln^{2}(log_{2}^{x})} + \frac{1458000}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{3}(log_{2}^{x})ln^{2}(x)} + \frac{157320}{x^{10}{\left(log(2, x)^{6}ln^{3}(x)ln^{3}(log_{2}^{x})ln^{6}(2)} + \frac{6254820}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{4}(log_{2}^{x})ln^{2}(x)} + \frac{324000}{x^{10}{\left(log(2, x)^{6}ln^{3}(log_{2}^{x})ln^{6}(2)ln^{3}(x)} + \frac{1726380}{x^{10}{\left(log(2, x)^{6}ln^{3}(x)ln^{6}(2)ln^{4}(log_{2}^{x})} + \frac{13166280}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{5}(log_{2}^{x})ln^{2}(x)} + \frac{1205280}{x^{10}{\left(log(2, x)^{6}ln^{4}(log_{2}^{x})ln^{6}(2)ln^{3}(x)} + \frac{1345680}{x^{10}{\left(log(2, x)^{6}ln^{3}(x)ln^{5}(log_{2}^{x})ln^{6}(2)} + \frac{15714000}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{6}(log_{2}^{x})ln^{2}(x)} + \frac{1993680}{x^{10}{\left(log(2, x)^{6}ln^{5}(log_{2}^{x})ln^{6}(2)ln^{3}(x)} + \frac{2959200}{x^{10}{\left(log(2, x)^{6}ln^{3}(x)ln^{6}(2)ln^{6}(log_{2}^{x})} + \frac{9072000}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{7}(log_{2}^{x})ln^{2}(x)} + \frac{1458000}{x^{10}{\left(log(2, x)^{6}ln^{6}(log_{2}^{x})ln^{6}(2)ln^{3}(x)} + \frac{2911680}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{2}(x)ln^{3}(log_{2}^{x})} + \frac{903960}{x^{10}{\left(log(2, x)^{6}ln^{3}(x)ln^{6}(2)ln^{3}(log_{2}^{x})} + \frac{598860}{x^{10}{\left(log(2, x)^{6}ln^{3}(x)ln^{4}(log_{2}^{x})ln^{6}(2)} + \frac{2516400}{x^{10}{\left(log(2, x)^{6}ln^{3}(x)ln^{6}(2)ln^{5}(log_{2}^{x})} + \frac{2181600}{x^{10}{\left(log(2, x)^{6}ln^{3}(x)ln^{6}(log_{2}^{x})ln^{6}(2)} + \frac{5595480}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{2}(x)ln^{4}(log_{2}^{x})} + \frac{7743600}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{2}(x)ln^{5}(log_{2}^{x})} + \frac{7938000}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{2}(x)ln^{6}(log_{2}^{x})} + \frac{5443200}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{2}(x)ln^{7}(log_{2}^{x})} + \frac{4536000}{x^{10}{\left(log(2, x)^{7}ln^{2}(x)ln^{7}(2)ln^{8}(log_{2}^{x})} + \frac{1814400}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln(x)ln^{2}(log_{2}^{x})} + \frac{226800}{x^{10}{\left(log(2, x)^{7}ln^{2}(x)ln^{7}(2)ln^{2}(log_{2}^{x})} + \frac{2721600}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{3}(log_{2}^{x})ln(x)} + \frac{223560}{x^{10}{\left(log(2, x)^{7}ln^{2}(x)ln^{3}(log_{2}^{x})ln^{7}(2)} + \frac{13326120}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{4}(log_{2}^{x})ln(x)} + \frac{324000}{x^{10}{\left(log(2, x)^{7}ln^{3}(log_{2}^{x})ln^{7}(2)ln^{2}(x)} + \frac{1737180}{x^{10}{\left(log(2, x)^{7}ln^{2}(x)ln^{7}(2)ln^{4}(log_{2}^{x})} + \frac{33622560}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{5}(log_{2}^{x})ln(x)} + \frac{1432080}{x^{10}{\left(log(2, x)^{7}ln^{4}(log_{2}^{x})ln^{7}(2)ln^{2}(x)} + \frac{1716120}{x^{10}{\left(log(2, x)^{7}ln^{2}(x)ln^{5}(log_{2}^{x})ln^{7}(2)} + \frac{52801200}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{6}(log_{2}^{x})ln(x)} + \frac{3095280}{x^{10}{\left(log(2, x)^{7}ln^{5}(log_{2}^{x})ln^{7}(2)ln^{2}(x)} + \frac{3769200}{x^{10}{\left(log(2, x)^{7}ln^{2}(x)ln^{7}(2)ln^{6}(log_{2}^{x})} + \frac{51256800}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{7}(log_{2}^{x})ln(x)} + \frac{3790800}{x^{10}{\left(log(2, x)^{7}ln^{6}(log_{2}^{x})ln^{7}(2)ln^{2}(x)} + \frac{3564000}{x^{10}{\left(log(2, x)^{7}ln^{2}(x)ln^{7}(log_{2}^{x})ln^{7}(2)} + \frac{25401600}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{8}(log_{2}^{x})ln(x)} + \frac{2268000}{x^{10}{\left(log(2, x)^{7}ln^{7}(log_{2}^{x})ln^{7}(2)ln^{2}(x)} + \frac{6622560}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln(x)ln^{3}(log_{2}^{x})} + \frac{798120}{x^{10}{\left(log(2, x)^{7}ln^{2}(x)ln^{7}(2)ln^{3}(log_{2}^{x})} + \frac{765720}{x^{10}{\left(log(2, x)^{7}ln^{2}(x)ln^{4}(log_{2}^{x})ln^{7}(2)} + \frac{2855520}{x^{10}{\left(log(2, x)^{7}ln^{2}(x)ln^{7}(2)ln^{5}(log_{2}^{x})} + \frac{2808000}{x^{10}{\left(log(2, x)^{7}ln^{2}(x)ln^{6}(log_{2}^{x})ln^{7}(2)} + \frac{4147200}{x^{10}{\left(log(2, x)^{7}ln^{2}(x)ln^{7}(2)ln^{7}(log_{2}^{x})} + \frac{14530320}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln(x)ln^{4}(log_{2}^{x})} + \frac{22785840}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln(x)ln^{5}(log_{2}^{x})} + \frac{26384400}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln(x)ln^{6}(log_{2}^{x})} + \frac{22226400}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln(x)ln^{7}(log_{2}^{x})} + \frac{12700800}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln(x)ln^{8}(log_{2}^{x})} + \frac{9072000}{x^{10}{\left(log(2, x)^{8}ln(x)ln^{9}(log_{2}^{x})ln^{8}(2)} + \frac{362880}{x^{10}ln^{10}(x)ln(log_{2}^{x})} + \frac{362880}{x^{10}log(2, x)ln^{9}(x)ln(2)ln^{2}(log_{2}^{x})} + \frac{45360}{x^{10}{\left(log(2, x)^{2}ln^{2}(2)ln^{8}(x)ln^{2}(log_{2}^{x})} + \frac{372960}{x^{10}{\left(log(2, x)^{2}ln^{8}(x)ln^{3}(log_{2}^{x})ln^{2}(2)} + \frac{51840}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{7}(x)ln^{2}(log_{2}^{x})} + \frac{176400}{x^{10}{\left(log(2, x)^{2}ln^{8}(x)ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{28800}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})ln^{7}(x)} + \frac{103680}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{7}(x)ln^{3}(log_{2}^{x})} + \frac{393120}{x^{10}{\left(log(2, x)^{3}ln^{7}(x)ln^{3}(2)ln^{4}(log_{2}^{x})} + \frac{60480}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{6}(x)ln^{2}(log_{2}^{x})} + \frac{119520}{x^{10}{\left(log(2, x)^{3}ln^{7}(x)ln^{3}(2)ln^{2}(log_{2}^{x})} + \frac{56640}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{3}(log_{2}^{x})ln^{6}(x)} + \frac{115200}{x^{10}{\left(log(2, x)^{3}ln^{7}(x)ln^{3}(log_{2}^{x})ln^{3}(2)} + \frac{103680}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{4}(log_{2}^{x})ln^{6}(x)} + \frac{21600}{x^{10}{\left(log(2, x)^{3}ln^{3}(log_{2}^{x})ln^{3}(2)ln^{7}(x)} + \frac{162000}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{6}(x)ln^{3}(log_{2}^{x})} + \frac{249120}{x^{10}{\left(log(2, x)^{3}ln^{7}(x)ln^{3}(2)ln^{3}(log_{2}^{x})} + \frac{181440}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{6}(x)ln^{4}(log_{2}^{x})} + \frac{426240}{x^{10}{\left(log(2, x)^{4}ln^{6}(x)ln^{5}(log_{2}^{x})ln^{4}(2)} + \frac{72576}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{5}(x)ln^{2}(log_{2}^{x})} + \frac{90000}{x^{10}{\left(log(2, x)^{4}ln^{6}(x)ln^{4}(2)ln^{2}(log_{2}^{x})} + \frac{91776}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{3}(log_{2}^{x})ln^{5}(x)} + \frac{60240}{x^{10}{\left(log(2, x)^{4}ln^{6}(x)ln^{3}(log_{2}^{x})ln^{4}(2)} + \frac{269712}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{4}(log_{2}^{x})ln^{5}(x)} + \frac{38640}{x^{10}{\left(log(2, x)^{4}ln^{3}(log_{2}^{x})ln^{4}(2)ln^{6}(x)} + \frac{358560}{x^{10}{\left(log(2, x)^{4}ln^{6}(x)ln^{4}(2)ln^{4}(log_{2}^{x})} + \frac{266112}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{5}(log_{2}^{x})ln^{5}(x)} + \frac{71280}{x^{10}{\left(log(2, x)^{4}ln^{4}(log_{2}^{x})ln^{4}(2)ln^{6}(x)} + \frac{216192}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{5}(x)ln^{3}(log_{2}^{x})} + \frac{236880}{x^{10}{\left(log(2, x)^{4}ln^{6}(x)ln^{4}(2)ln^{3}(log_{2}^{x})} + \frac{192240}{x^{10}{\left(log(2, x)^{4}ln^{6}(x)ln^{4}(log_{2}^{x})ln^{4}(2)} + \frac{343296}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{5}(x)ln^{4}(log_{2}^{x})} + \frac{290304}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{5}(x)ln^{5}(log_{2}^{x})} + \frac{478080}{x^{10}{\left(log(2, x)^{5}ln^{5}(x)ln^{5}(2)ln^{6}(log_{2}^{x})} + \frac{90720}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{4}(x)ln^{2}(log_{2}^{x})} + \frac{72000}{x^{10}{\left(log(2, x)^{5}ln^{5}(x)ln^{5}(2)ln^{2}(log_{2}^{x})} + \frac{137400}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{3}(log_{2}^{x})ln^{4}(x)} + \frac{37248}{x^{10}{\left(log(2, x)^{5}ln^{5}(x)ln^{3}(log_{2}^{x})ln^{5}(2)} + \frac{507744}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{4}(log_{2}^{x})ln^{4}(x)} + \frac{50784}{x^{10}{\left(log(2, x)^{5}ln^{3}(log_{2}^{x})ln^{5}(2)ln^{5}(x)} + \frac{365328}{x^{10}{\left(log(2, x)^{5}ln^{5}(x)ln^{5}(2)ln^{4}(log_{2}^{x})} + \frac{826128}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{5}(log_{2}^{x})ln^{4}(x)} + \frac{149328}{x^{10}{\left(log(2, x)^{5}ln^{4}(log_{2}^{x})ln^{5}(2)ln^{5}(x)} + \frac{293184}{x^{10}{\left(log(2, x)^{5}ln^{5}(x)ln^{5}(log_{2}^{x})ln^{5}(2)} + \frac{581040}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{6}(log_{2}^{x})ln^{4}(x)} + \frac{148608}{x^{10}{\left(log(2, x)^{5}ln^{5}(log_{2}^{x})ln^{5}(2)ln^{5}(x)} + \frac{282360}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{4}(x)ln^{3}(log_{2}^{x})} + \frac{208800}{x^{10}{\left(log(2, x)^{5}ln^{5}(x)ln^{5}(2)ln^{3}(log_{2}^{x})} + \frac{142416}{x^{10}{\left(log(2, x)^{5}ln^{5}(x)ln^{4}(log_{2}^{x})ln^{5}(2)} + \frac{453312}{x^{10}{\left(log(2, x)^{5}ln^{5}(x)ln^{5}(2)ln^{5}(log_{2}^{x})} + \frac{511920}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{4}(x)ln^{4}(log_{2}^{x})} + \frac{624960}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{4}(x)ln^{5}(log_{2}^{x})} + \frac{453600}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{4}(x)ln^{6}(log_{2}^{x})} + \frac{561600}{x^{10}{\left(log(2, x)^{6}ln^{4}(x)ln^{7}(log_{2}^{x})ln^{6}(2)} + \frac{120960}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{3}(x)ln^{2}(log_{2}^{x})} + \frac{59760}{x^{10}{\left(log(2, x)^{6}ln^{4}(x)ln^{6}(2)ln^{2}(log_{2}^{x})} + \frac{206400}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{3}(log_{2}^{x})ln^{3}(x)} + \frac{26328}{x^{10}{\left(log(2, x)^{6}ln^{4}(x)ln^{3}(log_{2}^{x})ln^{6}(2)} + \frac{881736}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{4}(log_{2}^{x})ln^{3}(x)} + \frac{60960}{x^{10}{\left(log(2, x)^{6}ln^{3}(log_{2}^{x})ln^{6}(2)ln^{4}(x)} + \frac{347184}{x^{10}{\left(log(2, x)^{6}ln^{4}(x)ln^{6}(2)ln^{4}(log_{2}^{x})} + \frac{1845216}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{5}(log_{2}^{x})ln^{3}(x)} + \frac{225972}{x^{10}{\left(log(2, x)^{6}ln^{4}(log_{2}^{x})ln^{6}(2)ln^{4}(x)} + \frac{249264}{x^{10}{\left(log(2, x)^{6}ln^{4}(x)ln^{5}(log_{2}^{x})ln^{6}(2)} + \frac{2178720}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{6}(log_{2}^{x})ln^{3}(x)} + \frac{370656}{x^{10}{\left(log(2, x)^{6}ln^{5}(log_{2}^{x})ln^{6}(2)ln^{4}(x)} + \frac{565920}{x^{10}{\left(log(2, x)^{6}ln^{4}(x)ln^{6}(2)ln^{6}(log_{2}^{x})} + \frac{1229760}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{7}(log_{2}^{x})ln^{3}(x)} + \frac{265680}{x^{10}{\left(log(2, x)^{6}ln^{6}(log_{2}^{x})ln^{6}(2)ln^{4}(x)} + \frac{387264}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{3}(x)ln^{3}(log_{2}^{x})} + \frac{183432}{x^{10}{\left(log(2, x)^{6}ln^{4}(x)ln^{6}(2)ln^{3}(log_{2}^{x})} + \frac{108180}{x^{10}{\left(log(2, x)^{6}ln^{4}(x)ln^{4}(log_{2}^{x})ln^{6}(2)} + \frac{499392}{x^{10}{\left(log(2, x)^{6}ln^{4}(x)ln^{6}(2)ln^{5}(log_{2}^{x})} + \frac{401760}{x^{10}{\left(log(2, x)^{6}ln^{4}(x)ln^{6}(log_{2}^{x})ln^{6}(2)} + \frac{748152}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{3}(x)ln^{4}(log_{2}^{x})} + \frac{1049184}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{3}(x)ln^{5}(log_{2}^{x})} + \frac{1088640}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{3}(x)ln^{6}(log_{2}^{x})} + \frac{725760}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{3}(x)ln^{7}(log_{2}^{x})} + \frac{705600}{x^{10}{\left(log(2, x)^{7}ln^{3}(x)ln^{7}(2)ln^{8}(log_{2}^{x})} + \frac{181440}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{2}(x)ln^{2}(log_{2}^{x})} + \frac{50400}{x^{10}{\left(log(2, x)^{7}ln^{3}(x)ln^{7}(2)ln^{2}(log_{2}^{x})} + \frac{317520}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{3}(log_{2}^{x})ln^{2}(x)} + \frac{22896}{x^{10}{\left(log(2, x)^{7}ln^{3}(x)ln^{3}(log_{2}^{x})ln^{7}(2)} + \frac{1508652}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{4}(log_{2}^{x})ln^{2}(x)} + \frac{64800}{x^{10}{\left(log(2, x)^{7}ln^{3}(log_{2}^{x})ln^{7}(2)ln^{3}(x)} + \frac{336384}{x^{10}{\left(log(2, x)^{7}ln^{3}(x)ln^{7}(2)ln^{4}(log_{2}^{x})} + \frac{3710232}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{5}(log_{2}^{x})ln^{2}(x)} + \frac{277992}{x^{10}{\left(log(2, x)^{7}ln^{4}(log_{2}^{x})ln^{7}(2)ln^{3}(x)} + \frac{229728}{x^{10}{\left(log(2, x)^{7}ln^{3}(x)ln^{5}(log_{2}^{x})ln^{7}(2)} + \frac{5701320}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{6}(log_{2}^{x})ln^{2}(x)} + \frac{585168}{x^{10}{\left(log(2, x)^{7}ln^{5}(log_{2}^{x})ln^{7}(2)ln^{3}(x)} + \frac{669840}{x^{10}{\left(log(2, x)^{7}ln^{3}(x)ln^{7}(2)ln^{6}(log_{2}^{x})} + \frac{5423040}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{7}(log_{2}^{x})ln^{2}(x)} + \frac{698400}{x^{10}{\left(log(2, x)^{7}ln^{6}(log_{2}^{x})ln^{7}(2)ln^{3}(x)} + \frac{552960}{x^{10}{\left(log(2, x)^{7}ln^{3}(x)ln^{7}(log_{2}^{x})ln^{7}(2)} + \frac{2610720}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{8}(log_{2}^{x})ln^{2}(x)} + \frac{403200}{x^{10}{\left(log(2, x)^{7}ln^{7}(log_{2}^{x})ln^{7}(2)ln^{3}(x)} + \frac{611856}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{2}(x)ln^{3}(log_{2}^{x})} + \frac{165360}{x^{10}{\left(log(2, x)^{7}ln^{3}(x)ln^{7}(2)ln^{3}(log_{2}^{x})} + \frac{94296}{x^{10}{\left(log(2, x)^{7}ln^{3}(x)ln^{4}(log_{2}^{x})ln^{7}(2)} + \frac{524304}{x^{10}{\left(log(2, x)^{7}ln^{3}(x)ln^{7}(2)ln^{5}(log_{2}^{x})} + \frac{404400}{x^{10}{\left(log(2, x)^{7}ln^{3}(x)ln^{6}(log_{2}^{x})ln^{7}(2)} + \frac{717120}{x^{10}{\left(log(2, x)^{7}ln^{3}(x)ln^{7}(2)ln^{7}(log_{2}^{x})} + \frac{1259748}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{2}(x)ln^{4}(log_{2}^{x})} + \frac{1915704}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{2}(x)ln^{5}(log_{2}^{x})} + \frac{2257920}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{2}(x)ln^{6}(log_{2}^{x})} + \frac{2046240}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{2}(x)ln^{7}(log_{2}^{x})} + \frac{1270080}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{2}(x)ln^{8}(log_{2}^{x})} + \frac{1008000}{x^{10}{\left(log(2, x)^{8}ln^{2}(x)ln^{9}(log_{2}^{x})ln^{8}(2)} + \frac{362880}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln(x)ln^{2}(log_{2}^{x})} + \frac{40320}{x^{10}{\left(log(2, x)^{8}ln^{2}(x)ln^{8}(2)ln^{2}(log_{2}^{x})} + \frac{564480}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{3}(log_{2}^{x})ln(x)} + \frac{36216}{x^{10}{\left(log(2, x)^{8}ln^{2}(x)ln^{3}(log_{2}^{x})ln^{8}(2)} + \frac{2992032}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{4}(log_{2}^{x})ln(x)} + \frac{60480}{x^{10}{\left(log(2, x)^{8}ln^{3}(log_{2}^{x})ln^{8}(2)ln^{2}(x)} + \frac{348384}{x^{10}{\left(log(2, x)^{8}ln^{2}(x)ln^{8}(2)ln^{4}(log_{2}^{x})} + \frac{8453472}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{5}(log_{2}^{x})ln(x)} + \frac{296136}{x^{10}{\left(log(2, x)^{8}ln^{4}(log_{2}^{x})ln^{8}(2)ln^{2}(x)} + \frac{323448}{x^{10}{\left(log(2, x)^{8}ln^{2}(x)ln^{5}(log_{2}^{x})ln^{8}(2)} + \frac{15654480}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{6}(log_{2}^{x})ln(x)} + \frac{747168}{x^{10}{\left(log(2, x)^{8}ln^{5}(log_{2}^{x})ln^{8}(2)ln^{2}(x)} + \frac{871200}{x^{10}{\left(log(2, x)^{8}ln^{2}(x)ln^{8}(2)ln^{6}(log_{2}^{x})} + \frac{19670400}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{7}(log_{2}^{x})ln(x)} + \frac{1173360}{x^{10}{\left(log(2, x)^{8}ln^{6}(log_{2}^{x})ln^{8}(2)ln^{2}(x)} + \frac{803520}{x^{10}{\left(log(2, x)^{8}ln^{2}(x)ln^{7}(log_{2}^{x})ln^{8}(2)} + \frac{15946560}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{8}(log_{2}^{x})ln(x)} + \frac{1139040}{x^{10}{\left(log(2, x)^{8}ln^{7}(log_{2}^{x})ln^{8}(2)ln^{2}(x)} + \frac{1008000}{x^{10}{\left(log(2, x)^{8}ln^{2}(x)ln^{8}(2)ln^{8}(log_{2}^{x})} + \frac{6773760}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{9}(log_{2}^{x})ln(x)} + \frac{564480}{x^{10}{\left(log(2, x)^{8}ln^{8}(log_{2}^{x})ln^{8}(2)ln^{2}(x)} + \frac{1397952}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln(x)ln^{3}(log_{2}^{x})} + \frac{150048}{x^{10}{\left(log(2, x)^{8}ln^{2}(x)ln^{8}(2)ln^{3}(log_{2}^{x})} + \frac{132720}{x^{10}{\left(log(2, x)^{8}ln^{2}(x)ln^{4}(log_{2}^{x})ln^{8}(2)} + \frac{613968}{x^{10}{\left(log(2, x)^{8}ln^{2}(x)ln^{8}(2)ln^{5}(log_{2}^{x})} + \frac{580200}{x^{10}{\left(log(2, x)^{8}ln^{2}(x)ln^{6}(log_{2}^{x})ln^{8}(2)} + \frac{1020960}{x^{10}{\left(log(2, x)^{8}ln^{2}(x)ln^{8}(2)ln^{7}(log_{2}^{x})} + \frac{897120}{x^{10}{\left(log(2, x)^{8}ln^{2}(x)ln^{8}(log_{2}^{x})ln^{8}(2)} + \frac{3303936}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln(x)ln^{4}(log_{2}^{x})} + \frac{5719488}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln(x)ln^{5}(log_{2}^{x})} + \frac{7547520}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln(x)ln^{6}(log_{2}^{x})} + \frac{7580160}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln(x)ln^{7}(log_{2}^{x})} + \frac{5644800}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln(x)ln^{8}(log_{2}^{x})} + \frac{2903040}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln(x)ln^{9}(log_{2}^{x})} + \frac{1814400}{x^{10}{\left(log(2, x)^{9}ln(x)ln^{9}(2)ln^{10}(log_{2}^{x})} + \frac{362880log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}log(2, x)ln(2)ln(log_{2}^{x})} + \frac{1026576log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{2}ln^{2}(2)ln(log_{2}^{x})} + \frac{1026576}{x^{10}log(2, x)ln(x)ln^{2}(log_{2}^{x})ln(2)} + \frac{1026576log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{1026576log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{2}ln^{2}(2)ln^{2}(log_{2}^{x})} + \frac{2345400log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln(log_{2}^{x})} + \frac{1172700}{x^{10}{\left(log(2, x)^{2}ln(x)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{1172700log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} + \frac{5863500log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{2}(log_{2}^{x})} + \frac{1172700}{x^{10}log(2, x)ln^{2}(x)ln^{2}(log_{2}^{x})ln(2)} + \frac{2345400}{x^{10}{\left(log(2, x)^{2}ln(x)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{2345400log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} + \frac{4690800log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{3}ln^{3}(2)ln^{3}(log_{2}^{x})} + \frac{4342080log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln(log_{2}^{x})} + \frac{1447360}{x^{10}{\left(log(2, x)^{3}ln(x)ln^{2}(log_{2}^{x})ln^{3}(2)} + \frac{1447360log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{2}(log_{2}^{x})} + \frac{14473600log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{2}(log_{2}^{x})} + \frac{723680}{x^{10}{\left(log(2, x)^{2}ln^{2}(x)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{1447360}{x^{10}{\left(log(2, x)^{3}ln(x)ln^{3}(2)ln^{3}(log_{2}^{x})} + \frac{4342080}{x^{10}{\left(log(2, x)^{3}ln(x)ln^{3}(log_{2}^{x})ln^{3}(2)} + \frac{4342080log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{3}(log_{2}^{x})} + \frac{21710400log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{3}(log_{2}^{x})} + \frac{1447360}{x^{10}log(2, x)ln^{3}(x)ln^{2}(log_{2}^{x})ln(2)} + \frac{2894720}{x^{10}{\left(log(2, x)^{2}ln^{2}(x)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{8684160}{x^{10}{\left(log(2, x)^{3}ln(x)ln^{4}(log_{2}^{x})ln^{3}(2)} + \frac{4342080log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{4}(log_{2}^{x})} + \frac{13026240log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{4}ln^{4}(2)ln^{4}(log_{2}^{x})} + \frac{6463800log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln(log_{2}^{x})} + \frac{1615950}{x^{10}{\left(log(2, x)^{4}ln(x)ln^{2}(log_{2}^{x})ln^{4}(2)} + \frac{1615950log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{2}(log_{2}^{x})} + \frac{25316550log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{2}(log_{2}^{x})} + \frac{538650}{x^{10}{\left(log(2, x)^{3}ln^{2}(x)ln^{2}(log_{2}^{x})ln^{3}(2)} + \frac{1077300}{x^{10}{\left(log(2, x)^{4}ln(x)ln^{4}(2)ln^{3}(log_{2}^{x})} + \frac{5925150}{x^{10}{\left(log(2, x)^{4}ln(x)ln^{3}(log_{2}^{x})ln^{4}(2)} + \frac{5925150log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{3}(log_{2}^{x})} + \frac{50633100log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{3}(log_{2}^{x})} + \frac{538650}{x^{10}{\left(log(2, x)^{2}ln^{3}(x)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{11311650}{x^{10}{\left(log(2, x)^{4}ln(x)ln^{4}(log_{2}^{x})ln^{4}(2)} + \frac{4847850}{x^{10}{\left(log(2, x)^{4}ln(x)ln^{4}(2)ln^{4}(log_{2}^{x})} + \frac{9695700log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{4}(log_{2}^{x})} + \frac{54942300log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{4}(log_{2}^{x})} + \frac{1615950}{x^{10}log(2, x)ln^{4}(x)ln^{2}(log_{2}^{x})ln(2)} + \frac{3231900}{x^{10}{\left(log(2, x)^{2}ln^{3}(x)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{6463800}{x^{10}{\left(log(2, x)^{3}ln^{2}(x)ln^{4}(log_{2}^{x})ln^{3}(2)} + \frac{12927600}{x^{10}{\left(log(2, x)^{4}ln(x)ln^{4}(2)ln^{5}(log_{2}^{x})} + \frac{6463800log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{5}(log_{2}^{x})} + \frac{25855200log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{5}ln^{5}(2)ln^{5}(log_{2}^{x})} + \frac{7592760log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln(log_{2}^{x})} + \frac{1518552}{x^{10}{\left(log(2, x)^{5}ln(x)ln^{2}(log_{2}^{x})ln^{5}(2)} + \frac{1518552log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{2}(log_{2}^{x})} + \frac{33155052log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{2}(log_{2}^{x})} + \frac{379638}{x^{10}{\left(log(2, x)^{4}ln^{2}(x)ln^{2}(log_{2}^{x})ln^{4}(2)} + \frac{759276}{x^{10}{\left(log(2, x)^{5}ln(x)ln^{5}(2)ln^{3}(log_{2}^{x})} + \frac{6327300}{x^{10}{\left(log(2, x)^{5}ln(x)ln^{3}(log_{2}^{x})ln^{5}(2)} + \frac{6327300log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{3}(log_{2}^{x})} + \frac{79091250log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{3}(log_{2}^{x})} + \frac{253092}{x^{10}{\left(log(2, x)^{3}ln^{3}(x)ln^{2}(log_{2}^{x})ln^{3}(2)} + \frac{14046606}{x^{10}{\left(log(2, x)^{5}ln(x)ln^{4}(log_{2}^{x})ln^{5}(2)} + \frac{4176018}{x^{10}{\left(log(2, x)^{5}ln(x)ln^{5}(2)ln^{4}(log_{2}^{x})} + \frac{13287330log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{4}(log_{2}^{x})} + \frac{115789590log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{4}(log_{2}^{x})} + \frac{379638}{x^{10}{\left(log(2, x)^{2}ln^{4}(x)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{10629864}{x^{10}{\left(log(2, x)^{5}ln(x)ln^{5}(2)ln^{5}(log_{2}^{x})} + \frac{19741176}{x^{10}{\left(log(2, x)^{5}ln(x)ln^{5}(log_{2}^{x})ln^{5}(2)} + \frac{15185520log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{5}(log_{2}^{x})} + \frac{98705880log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{5}(log_{2}^{x})} + \frac{1518552}{x^{10}log(2, x)ln^{5}(x)ln^{2}(log_{2}^{x})ln(2)} + \frac{3037104}{x^{10}{\left(log(2, x)^{2}ln^{4}(x)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{5314932}{x^{10}{\left(log(2, x)^{3}ln^{3}(x)ln^{4}(log_{2}^{x})ln^{3}(2)} + \frac{9111312}{x^{10}{\left(log(2, x)^{4}ln^{2}(x)ln^{4}(2)ln^{5}(log_{2}^{x})} + \frac{22778280}{x^{10}{\left(log(2, x)^{5}ln(x)ln^{6}(log_{2}^{x})ln^{5}(2)} + \frac{7592760log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{6}(log_{2}^{x})} + \frac{37963800log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{6}ln^{6}(2)ln^{6}(log_{2}^{x})} + \frac{6804000log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln(log_{2}^{x})} + \frac{1134000}{x^{10}{\left(log(2, x)^{6}ln(x)ln^{2}(log_{2}^{x})ln^{6}(2)} + \frac{1134000log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{2}(log_{2}^{x})} + \frac{32205600log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{2}(log_{2}^{x})} + \frac{226800}{x^{10}{\left(log(2, x)^{5}ln^{2}(x)ln^{2}(log_{2}^{x})ln^{5}(2)} + \frac{453600}{x^{10}{\left(log(2, x)^{6}ln(x)ln^{6}(2)ln^{3}(log_{2}^{x})} + \frac{5178600}{x^{10}{\left(log(2, x)^{6}ln(x)ln^{3}(log_{2}^{x})ln^{6}(2)} + \frac{5178600log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{3}(log_{2}^{x})} + \frac{86902200log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{3}(log_{2}^{x})} + \frac{113400}{x^{10}{\left(log(2, x)^{4}ln^{3}(x)ln^{2}(log_{2}^{x})ln^{4}(2)} + \frac{13097700}{x^{10}{\left(log(2, x)^{6}ln(x)ln^{4}(log_{2}^{x})ln^{6}(2)} + \frac{2835000}{x^{10}{\left(log(2, x)^{6}ln(x)ln^{6}(2)ln^{4}(log_{2}^{x})} + \frac{12757500log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{4}(log_{2}^{x})} + \frac{153940500log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{4}(log_{2}^{x})} + \frac{113400}{x^{10}{\left(log(2, x)^{3}ln^{4}(x)ln^{2}(log_{2}^{x})ln^{3}(2)} + \frac{8391600}{x^{10}{\left(log(2, x)^{6}ln(x)ln^{6}(2)ln^{5}(log_{2}^{x})} + \frac{21772800}{x^{10}{\left(log(2, x)^{6}ln(x)ln^{5}(log_{2}^{x})ln^{6}(2)} + \frac{19278000log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{5}(log_{2}^{x})} + \frac{179172000log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{5}(log_{2}^{x})} + \frac{226800}{x^{10}{\left(log(2, x)^{2}ln^{5}(x)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{24948000}{x^{10}{\left(log(2, x)^{6}ln(x)ln^{6}(log_{2}^{x})ln^{6}(2)} + \frac{14742000}{x^{10}{\left(log(2, x)^{6}ln(x)ln^{6}(2)ln^{6}(log_{2}^{x})} + \frac{17010000log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{6}(log_{2}^{x})} + \frac{125874000log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{6}(log_{2}^{x})} + \frac{1134000}{x^{10}log(2, x)ln^{6}(x)ln^{2}(log_{2}^{x})ln(2)} + \frac{2268000}{x^{10}{\left(log(2, x)^{2}ln^{5}(x)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{3742200}{x^{10}{\left(log(2, x)^{3}ln^{4}(x)ln^{4}(log_{2}^{x})ln^{3}(2)} + \frac{5896800}{x^{10}{\left(log(2, x)^{4}ln^{3}(x)ln^{4}(2)ln^{5}(log_{2}^{x})} + \frac{10206000}{x^{10}{\left(log(2, x)^{5}ln^{2}(x)ln^{6}(log_{2}^{x})ln^{5}(2)} + \frac{20412000}{x^{10}{\left(log(2, x)^{6}ln(x)ln^{6}(2)ln^{7}(log_{2}^{x})} + \frac{6804000log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{7}(log_{2}^{x})} + \frac{40824000log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{7}ln^{7}(2)ln^{7}(log_{2}^{x})} + \frac{4384800log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln(log_{2}^{x})} + \frac{626400}{x^{10}{\left(log(2, x)^{7}ln(x)ln^{2}(log_{2}^{x})ln^{7}(2)} + \frac{626400log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{2}(log_{2}^{x})} + \frac{22111920log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{2}(log_{2}^{x})} + \frac{104400}{x^{10}{\left(log(2, x)^{6}ln^{2}(x)ln^{2}(log_{2}^{x})ln^{6}(2)} + \frac{208800}{x^{10}{\left(log(2, x)^{7}ln(x)ln^{7}(2)ln^{3}(log_{2}^{x})} + \frac{3069360}{x^{10}{\left(log(2, x)^{7}ln(x)ln^{3}(log_{2}^{x})ln^{7}(2)} + \frac{3069360log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{3}(log_{2}^{x})} + \frac{65479680log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{3}(log_{2}^{x})} + \frac{41760}{x^{10}{\left(log(2, x)^{5}ln^{3}(x)ln^{2}(log_{2}^{x})ln^{5}(2)} + \frac{8602560}{x^{10}{\left(log(2, x)^{7}ln(x)ln^{4}(log_{2}^{x})ln^{7}(2)} + \frac{1430280}{x^{10}{\left(log(2, x)^{7}ln(x)ln^{7}(2)ln^{4}(log_{2}^{x})} + \frac{8477280log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{4}(log_{2}^{x})} + \frac{132859440log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{4}(log_{2}^{x})} + \frac{31320}{x^{10}{\left(log(2, x)^{4}ln^{4}(x)ln^{2}(log_{2}^{x})ln^{4}(2)} + \frac{4823280}{x^{10}{\left(log(2, x)^{7}ln(x)ln^{7}(2)ln^{5}(log_{2}^{x})} + \frac{16390800}{x^{10}{\left(log(2, x)^{7}ln(x)ln^{5}(log_{2}^{x})ln^{7}(2)} + \frac{15346800log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{5}(log_{2}^{x})} + \frac{189277200log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{5}(log_{2}^{x})} + \frac{41760}{x^{10}{\left(log(2, x)^{3}ln^{5}(x)ln^{2}(log_{2}^{x})ln^{3}(2)} + \frac{22132800}{x^{10}{\left(log(2, x)^{7}ln(x)ln^{6}(log_{2}^{x})ln^{7}(2)} + \frac{10022400}{x^{10}{\left(log(2, x)^{7}ln(x)ln^{7}(2)ln^{6}(log_{2}^{x})} + \frac{18270000log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{6}(log_{2}^{x})} + \frac{183430800log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{6}(log_{2}^{x})} + \frac{104400}{x^{10}{\left(log(2, x)^{2}ln^{6}(x)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{13780800}{x^{10}{\left(log(2, x)^{7}ln(x)ln^{7}(2)ln^{7}(log_{2}^{x})} + \frac{21297600}{x^{10}{\left(log(2, x)^{7}ln(x)ln^{7}(log_{2}^{x})ln^{7}(2)} + \frac{13154400log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{7}(log_{2}^{x})} + \frac{109620000log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{7}(log_{2}^{x})} + \frac{626400}{x^{10}log(2, x)ln^{7}(x)ln^{2}(log_{2}^{x})ln(2)} + \frac{1252800}{x^{10}{\left(log(2, x)^{2}ln^{6}(x)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{2004480}{x^{10}{\left(log(2, x)^{3}ln^{5}(x)ln^{4}(log_{2}^{x})ln^{3}(2)} + \frac{3006720}{x^{10}{\left(log(2, x)^{4}ln^{4}(x)ln^{4}(2)ln^{5}(log_{2}^{x})} + \frac{4593600}{x^{10}{\left(log(2, x)^{5}ln^{3}(x)ln^{6}(log_{2}^{x})ln^{5}(2)} + \frac{7516800}{x^{10}{\left(log(2, x)^{6}ln^{2}(x)ln^{6}(2)ln^{7}(log_{2}^{x})} + \frac{17539200}{x^{10}{\left(log(2, x)^{7}ln(x)ln^{8}(log_{2}^{x})ln^{7}(2)} + \frac{4384800log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{8}(log_{2}^{x})} + \frac{30693600log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{8}ln^{8}(2)ln^{8}(log_{2}^{x})} + \frac{1814400log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln(log_{2}^{x})} + \frac{226800}{x^{10}{\left(log(2, x)^{8}ln(x)ln^{2}(log_{2}^{x})ln^{8}(2)} + \frac{226800log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{2}(log_{2}^{x})} + \frac{9635760log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{2}(log_{2}^{x})} + \frac{32400}{x^{10}{\left(log(2, x)^{7}ln^{2}(x)ln^{2}(log_{2}^{x})ln^{7}(2)} + \frac{64800}{x^{10}{\left(log(2, x)^{8}ln(x)ln^{8}(2)ln^{3}(log_{2}^{x})} + \frac{1176120}{x^{10}{\left(log(2, x)^{8}ln(x)ln^{3}(log_{2}^{x})ln^{8}(2)} + \frac{1176120log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{3}(log_{2}^{x})} + \frac{30717360log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{3}(log_{2}^{x})} + \frac{10800}{x^{10}{\left(log(2, x)^{6}ln^{3}(x)ln^{2}(log_{2}^{x})ln^{6}(2)} + \frac{3578040}{x^{10}{\left(log(2, x)^{8}ln(x)ln^{4}(log_{2}^{x})ln^{8}(2)} + \frac{476280}{x^{10}{\left(log(2, x)^{8}ln(x)ln^{8}(2)ln^{4}(log_{2}^{x})} + \frac{3545640log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{4}(log_{2}^{x})} + \frac{69121080log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{4}(log_{2}^{x})} + \frac{6480}{x^{10}{\left(log(2, x)^{5}ln^{4}(x)ln^{2}(log_{2}^{x})ln^{5}(2)} + \frac{1779840}{x^{10}{\left(log(2, x)^{8}ln(x)ln^{8}(2)ln^{5}(log_{2}^{x})} + \frac{7606440}{x^{10}{\left(log(2, x)^{8}ln(x)ln^{5}(log_{2}^{x})ln^{8}(2)} + \frac{7310520log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{5}(log_{2}^{x})} + \frac{113914080log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{5}(log_{2}^{x})} + \frac{6480}{x^{10}{\left(log(2, x)^{4}ln^{5}(x)ln^{2}(log_{2}^{x})ln^{4}(2)} + \frac{11831400}{x^{10}{\left(log(2, x)^{8}ln(x)ln^{6}(log_{2}^{x})ln^{8}(2)} + \frac{4239000}{x^{10}{\left(log(2, x)^{8}ln(x)ln^{8}(2)ln^{6}(log_{2}^{x})} + \frac{10584000log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{6}(log_{2}^{x})} + \frac{136382400log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{6}(log_{2}^{x})} + \frac{10800}{x^{10}{\left(log(2, x)^{3}ln^{6}(x)ln^{2}(log_{2}^{x})ln^{3}(2)} + \frac{6868800}{x^{10}{\left(log(2, x)^{8}ln(x)ln^{8}(2)ln^{7}(log_{2}^{x})} + \frac{13543200}{x^{10}{\left(log(2, x)^{8}ln(x)ln^{7}(log_{2}^{x})ln^{8}(2)} + \frac{10432800log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{7}(log_{2}^{x})} + \frac{113400000log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{7}(log_{2}^{x})} + \frac{32400}{x^{10}{\left(log(2, x)^{2}ln^{7}(x)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{11340000}{x^{10}{\left(log(2, x)^{8}ln(x)ln^{8}(log_{2}^{x})ln^{8}(2)} + \frac{7711200}{x^{10}{\left(log(2, x)^{8}ln(x)ln^{8}(2)ln^{8}(log_{2}^{x})} + \frac{6350400log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{8}(log_{2}^{x})} + \frac{58968000log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{8}(log_{2}^{x})} + \frac{226800}{x^{10}log(2, x)ln^{8}(x)ln^{2}(log_{2}^{x})ln(2)} + \frac{453600}{x^{10}{\left(log(2, x)^{2}ln^{7}(x)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{712800}{x^{10}{\left(log(2, x)^{3}ln^{6}(x)ln^{4}(log_{2}^{x})ln^{3}(2)} + \frac{1036800}{x^{10}{\left(log(2, x)^{4}ln^{5}(x)ln^{4}(2)ln^{5}(log_{2}^{x})} + \frac{1490400}{x^{10}{\left(log(2, x)^{5}ln^{4}(x)ln^{6}(log_{2}^{x})ln^{5}(2)} + \frac{2203200}{x^{10}{\left(log(2, x)^{6}ln^{3}(x)ln^{6}(2)ln^{7}(log_{2}^{x})} + \frac{3628800}{x^{10}{\left(log(2, x)^{7}ln^{2}(x)ln^{8}(log_{2}^{x})ln^{7}(2)} + \frac{7257600}{x^{10}{\left(log(2, x)^{8}ln(x)ln^{8}(2)ln^{9}(log_{2}^{x})} + \frac{1814400log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{9}(log_{2}^{x})} + \frac{14515200log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{9}ln^{9}(2)ln^{9}(log_{2}^{x})} + \frac{362880log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{10}ln^{10}(2)ln(log_{2}^{x})} + \frac{40320}{x^{10}{\left(log(2, x)^{9}ln(x)ln^{2}(log_{2}^{x})ln^{9}(2)} + \frac{40320log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{10}ln^{10}(2)ln^{2}(log_{2}^{x})} + \frac{2012832log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{10}ln^{10}(2)ln^{2}(log_{2}^{x})} + \frac{5040}{x^{10}{\left(log(2, x)^{8}ln^{2}(x)ln^{2}(log_{2}^{x})ln^{8}(2)} + \frac{10080}{x^{10}{\left(log(2, x)^{9}ln(x)ln^{9}(2)ln^{3}(log_{2}^{x})} + \frac{219168}{x^{10}{\left(log(2, x)^{9}ln(x)ln^{3}(log_{2}^{x})ln^{9}(2)} + \frac{219168log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{10}ln^{10}(2)ln^{3}(log_{2}^{x})} + \frac{6817032log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{10}ln^{10}(2)ln^{3}(log_{2}^{x})} + \frac{1440}{x^{10}{\left(log(2, x)^{7}ln^{3}(x)ln^{2}(log_{2}^{x})ln^{7}(2)} + \frac{713064}{x^{10}{\left(log(2, x)^{9}ln(x)ln^{4}(log_{2}^{x})ln^{9}(2)} + \frac{78408}{x^{10}{\left(log(2, x)^{9}ln(x)ln^{9}(2)ln^{4}(log_{2}^{x})} + \frac{708744log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{10}ln^{10}(2)ln^{4}(log_{2}^{x})} + \frac{16659576log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{10}ln^{10}(2)ln^{4}(log_{2}^{x})} + \frac{720}{x^{10}{\left(log(2, x)^{6}ln^{4}(x)ln^{2}(log_{2}^{x})ln^{6}(2)} + \frac{318048}{x^{10}{\left(log(2, x)^{9}ln(x)ln^{9}(2)ln^{5}(log_{2}^{x})} + \frac{1657152}{x^{10}{\left(log(2, x)^{9}ln(x)ln^{5}(log_{2}^{x})ln^{9}(2)} + \frac{1614816log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{10}ln^{10}(2)ln^{5}(log_{2}^{x})} + \frac{30704184log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{10}ln^{10}(2)ln^{5}(log_{2}^{x})} + \frac{576}{x^{10}{\left(log(2, x)^{5}ln^{5}(x)ln^{2}(log_{2}^{x})ln^{5}(2)} + \frac{2891640}{x^{10}{\left(log(2, x)^{9}ln(x)ln^{6}(log_{2}^{x})ln^{9}(2)} + \frac{845160}{x^{10}{\left(log(2, x)^{9}ln(x)ln^{9}(2)ln^{6}(log_{2}^{x})} + \frac{2693880log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{10}ln^{10}(2)ln^{6}(log_{2}^{x})} + \frac{42862680log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{10}ln^{10}(2)ln^{6}(log_{2}^{x})} + \frac{720}{x^{10}{\left(log(2, x)^{4}ln^{6}(x)ln^{2}(log_{2}^{x})ln^{4}(2)} + \frac{1577520}{x^{10}{\left(log(2, x)^{9}ln(x)ln^{9}(2)ln^{7}(log_{2}^{x})} + \frac{3831120}{x^{10}{\left(log(2, x)^{9}ln(x)ln^{7}(log_{2}^{x})ln^{9}(2)} + \frac{3265920log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{10}ln^{10}(2)ln^{7}(log_{2}^{x})} + \frac{44362080log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{10}ln^{10}(2)ln^{7}(log_{2}^{x})} + \frac{1440}{x^{10}{\left(log(2, x)^{3}ln^{7}(x)ln^{2}(log_{2}^{x})ln^{3}(2)} + \frac{3820320}{x^{10}{\left(log(2, x)^{9}ln(x)ln^{8}(log_{2}^{x})ln^{9}(2)} + \frac{2106720}{x^{10}{\left(log(2, x)^{9}ln(x)ln^{9}(2)ln^{8}(log_{2}^{x})} + \frac{2751840log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{10}ln^{10}(2)ln^{8}(log_{2}^{x})} + \frac{32326560log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{10}ln^{10}(2)ln^{8}(log_{2}^{x})} + \frac{5040}{x^{10}{\left(log(2, x)^{2}ln^{8}(x)ln^{2}(log_{2}^{x})ln^{2}(2)} + \frac{2016000}{x^{10}{\left(log(2, x)^{9}ln(x)ln^{9}(2)ln^{9}(log_{2}^{x})} + \frac{2822400}{x^{10}{\left(log(2, x)^{9}ln(x)ln^{9}(log_{2}^{x})ln^{9}(2)} + \frac{1451520log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{10}ln^{10}(2)ln^{9}(log_{2}^{x})} + \frac{14878080log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{10}ln^{10}(2)ln^{9}(log_{2}^{x})} + \frac{40320}{x^{10}log(2, x)ln^{9}(x)ln^{2}(log_{2}^{x})ln(2)} + \frac{80640}{x^{10}{\left(log(2, x)^{2}ln^{8}(x)ln^{2}(2)ln^{3}(log_{2}^{x})} + \frac{125280}{x^{10}{\left(log(2, x)^{3}ln^{7}(x)ln^{4}(log_{2}^{x})ln^{3}(2)} + \frac{178560}{x^{10}{\left(log(2, x)^{4}ln^{6}(x)ln^{4}(2)ln^{5}(log_{2}^{x})} + \frac{247680}{x^{10}{\left(log(2, x)^{5}ln^{5}(x)ln^{6}(log_{2}^{x})ln^{5}(2)} + \frac{345600}{x^{10}{\left(log(2, x)^{6}ln^{4}(x)ln^{6}(2)ln^{7}(log_{2}^{x})} + \frac{504000}{x^{10}{\left(log(2, x)^{7}ln^{3}(x)ln^{8}(log_{2}^{x})ln^{7}(2)} + \frac{806400}{x^{10}{\left(log(2, x)^{8}ln^{2}(x)ln^{8}(2)ln^{9}(log_{2}^{x})} + \frac{1814400}{x^{10}{\left(log(2, x)^{9}ln(x)ln^{10}(log_{2}^{x})ln^{9}(2)} + \frac{362880log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{10}ln^{10}(2)ln^{10}(log_{2}^{x})} + \frac{3265920log_{log_{2}^{x}}^{log_{x}^{2}}}{x^{10}{\left(log(2, x)^{10}ln^{10}(2)ln^{10}(log_{2}^{x})}\\ \end{split}\end{equation} \]



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