本次共计算 1 个题目：每一题对 x 求 15 阶导数。
    注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数ln(x + {({x}^{2} + {a}^{2})}^{\frac{1}{2}}) 关于 x 的 15 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = ln(x + (x^{2} + a^{2})^{\frac{1}{2}})\\\\ &\color{blue}{函数的 15 阶导数：} \\=&\frac{87178291200x^{15}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{15}(x^{2} + a^{2})^{\frac{15}{2}}} + \frac{1307674368000x^{14}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{15}(x^{2} + a^{2})^{7}} + \frac{653837184000x^{15}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}(x^{2} + a^{2})^{8}} - \frac{87178291200x^{13}}{(x^{2} + a^{2})^{7}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}} + \frac{9153720576000x^{13}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{15}(x^{2} + a^{2})^{\frac{13}{2}}} + \frac{8499883392000x^{14}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}(x^{2} + a^{2})^{\frac{15}{2}}} - \frac{1133317785600x^{12}}{(x^{2} + a^{2})^{\frac{13}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}} + \frac{2615348736000x^{15}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}(x^{2} + a^{2})^{\frac{17}{2}}} - \frac{691199308800x^{13}}{(x^{2} + a^{2})^{\frac{15}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}} + \frac{50432641459200x^{13}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}(x^{2} + a^{2})^{7}} + \frac{179630869017600x^{12}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}(x^{2} + a^{2})^{\frac{13}{2}}} + \frac{756695113574400x^{11}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}(x^{2} + a^{2})^{\frac{13}{2}}} + \frac{39666122496000x^{12}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{15}(x^{2} + a^{2})^{6}} - \frac{6799906713600x^{11}}{(x^{2} + a^{2})^{6}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}} + \frac{29422673280000x^{14}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}(x^{2} + a^{2})^{8}} - \frac{7696597708800x^{12}}{(x^{2} + a^{2})^{7}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}} + \frac{423294192921600x^{11}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}(x^{2} + a^{2})^{6}} + \frac{772480611302400x^{10}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}(x^{2} + a^{2})^{6}} + \frac{7410154752000x^{15}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}(x^{2} + a^{2})^{9}} - \frac{2935561305600x^{13}}{(x^{2} + a^{2})^{8}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}} + \frac{147150728524800x^{13}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}(x^{2} + a^{2})^{\frac{15}{2}}} + \frac{424190883916800x^{12}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}(x^{2} + a^{2})^{7}} + \frac{830636195558400x^{11}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}(x^{2} + a^{2})^{7}} - \frac{42704908646400x^{11}}{(x^{2} + a^{2})^{\frac{13}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}} - \frac{117989590118400x^{10}}{(x^{2} + a^{2})^{6}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}} - \frac{426894209280000x^{9}}{(x^{2} + a^{2})^{6}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}} + \frac{118998367488000x^{11}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{15}(x^{2} + a^{2})^{\frac{11}{2}}} - \frac{47599346995200x^{10}}{(x^{2} + a^{2})^{\frac{11}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}} + \frac{702090368179200x^{10}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}(x^{2} + a^{2})^{\frac{11}{2}}} + \frac{415628730316800x^{9}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}(x^{2} + a^{2})^{\frac{11}{2}}} + \frac{71922090240000x^{14}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}(x^{2} + a^{2})^{\frac{17}{2}}} - \frac{28597593024000x^{12}}{(x^{2} + a^{2})^{\frac{15}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}} + \frac{326476673107200x^{10}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}(x^{2} + a^{2})^{\frac{13}{2}}} - \frac{415628730316800x^{9}}{(x^{2} + a^{2})^{\frac{11}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}} - \frac{599558399193600x^{8}}{(x^{2} + a^{2})^{\frac{11}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}} + \frac{16672848192000x^{15}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}(x^{2} + a^{2})^{\frac{19}{2}}} - \frac{8951342400000x^{13}}{(x^{2} + a^{2})^{\frac{17}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}} + \frac{300431480025600x^{13}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}(x^{2} + a^{2})^{8}} + \frac{683088614208000x^{12}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}(x^{2} + a^{2})^{\frac{15}{2}}} + \frac{527212272787200x^{11}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}(x^{2} + a^{2})^{\frac{15}{2}}} - \frac{116645990630400x^{11}}{(x^{2} + a^{2})^{7}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}} - \frac{326476673107200x^{10}}{(x^{2} + a^{2})^{\frac{13}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}} - \frac{538043576716800x^{9}}{(x^{2} + a^{2})^{\frac{13}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}} - \frac{663924159360000x^{9}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}(x^{2} + a^{2})^{6}} - \frac{802922360486400x^{8}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}(x^{2} + a^{2})^{\frac{11}{2}}} + \frac{458755225689600x^{7}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}(x^{2} + a^{2})^{\frac{11}{2}}} + \frac{436327347456000x^{9}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{15}(x^{2} + a^{2})^{\frac{9}{2}}} - \frac{547605842112000x^{8}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}(x^{2} + a^{2})^{6}} + \frac{241367599872000x^{6}}{(x^{2} + a^{2})^{5}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}} - \frac{250604057088000x^{7}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}(x^{2} + a^{2})^{5}} + \frac{267833265638400x^{6}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}(x^{2} + a^{2})^{\frac{9}{2}}} + \frac{13016258841600x^{5}}{(x^{2} + a^{2})^{\frac{9}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}} + \frac{408767595223680x^{8}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}(x^{2} + a^{2})^{\frac{13}{2}}} + \frac{4840269799680x^{6}}{(x^{2} + a^{2})^{\frac{11}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}} + \frac{740368931904000x^{6}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}(x^{2} + a^{2})^{5}} + \frac{314229251750400x^{5}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}(x^{2} + a^{2})^{\frac{9}{2}}} - \frac{150917999904000x^{4}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}(x^{2} + a^{2})^{\frac{9}{2}}} + \frac{815479757568000x^{12}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}(x^{2} + a^{2})^{8}} - \frac{450364271616000x^{10}}{(x^{2} + a^{2})^{7}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}} - \frac{469847400422400x^{8}}{(x^{2} + a^{2})^{5}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}} + \frac{739489855104000x^{9}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}(x^{2} + a^{2})^{5}} + \frac{492426577843200x^{8}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}(x^{2} + a^{2})^{\frac{9}{2}}} - \frac{440231689497600x^{7}}{(x^{2} + a^{2})^{\frac{9}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}} - \frac{371641055385600x^{8}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}(x^{2} + a^{2})^{5}} - \frac{681752918246400x^{7}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}(x^{2} + a^{2})^{\frac{9}{2}}} - \frac{310388246784000x^{7}}{(x^{2} + a^{2})^{5}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}} + \frac{168494081817600x^{6}}{(x^{2} + a^{2})^{\frac{9}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}} + \frac{729851983660800x^{12}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}(x^{2} + a^{2})^{\frac{17}{2}}} - \frac{582111400590720x^{10}}{(x^{2} + a^{2})^{\frac{15}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}} - \frac{531372260160000x^{10}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}(x^{2} + a^{2})^{7}} - \frac{1098183976243200x^{9}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}(x^{2} + a^{2})^{\frac{13}{2}}} - \frac{153634537728000x^{8}}{(x^{2} + a^{2})^{6}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}} + \frac{242485154150400x^{7}}{(x^{2} + a^{2})^{\frac{11}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}} + \frac{486027996088320x^{6}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}(x^{2} + a^{2})^{\frac{11}{2}}} - \frac{131703122880000x^{4}}{(x^{2} + a^{2})^{\frac{9}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}} + \frac{138940401600000x^{14}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}(x^{2} + a^{2})^{9}} - \frac{71739960768000x^{12}}{(x^{2} + a^{2})^{8}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}} + \frac{31678411564800x^{15}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}(x^{2} + a^{2})^{10}} - \frac{21414310848000x^{13}}{(x^{2} + a^{2})^{9}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}} + \frac{478079521920000x^{13}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}(x^{2} + a^{2})^{\frac{17}{2}}} - \frac{88361523129600x^{11}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}(x^{2} + a^{2})^{8}} - \frac{259465945939200x^{11}}{(x^{2} + a^{2})^{\frac{15}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}} - \frac{234244519488000x^{9}}{(x^{2} + a^{2})^{7}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}} + \frac{1002764386310400x^{7}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}(x^{2} + a^{2})^{6}} - \frac{200402063608320x^{5}}{(x^{2} + a^{2})^{5}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}} - \frac{84998833920000x^{9}}{(x^{2} + a^{2})^{5}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}} + \frac{261796408473600x^{10}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{15}(x^{2} + a^{2})^{5}} - \frac{211930425907200x^{8}}{(x^{2} + a^{2})^{\frac{9}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}} + \frac{225083450592000x^{14}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}(x^{2} + a^{2})^{\frac{19}{2}}} - \frac{149734942156800x^{12}}{(x^{2} + a^{2})^{\frac{17}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}} - \frac{1086840703428480x^{10}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}(x^{2} + a^{2})^{\frac{15}{2}}} + \frac{222348746632320x^{8}}{(x^{2} + a^{2})^{\frac{13}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}} + \frac{52797352608000x^{15}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}(x^{2} + a^{2})^{\frac{21}{2}}} - \frac{44581490553600x^{13}}{(x^{2} + a^{2})^{\frac{19}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}} + \frac{624415653792000x^{13}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}(x^{2} + a^{2})^{9}} - \frac{670706961724800x^{11}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}(x^{2} + a^{2})^{\frac{17}{2}}} - \frac{402506742758400x^{11}}{(x^{2} + a^{2})^{8}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}} + \frac{84197018505600x^{9}}{(x^{2} + a^{2})^{\frac{15}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}} - \frac{911114767584000x^{9}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}(x^{2} + a^{2})^{7}} + \frac{760943431987200x^{7}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}(x^{2} + a^{2})^{\frac{13}{2}}} + \frac{329592335385600x^{7}}{(x^{2} + a^{2})^{6}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}} - \frac{254416567991040x^{5}}{(x^{2} + a^{2})^{\frac{11}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}} - \frac{94118895924480x^{5}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}(x^{2} + a^{2})^{5}} + \frac{40515770574720x^{3}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}(x^{2} + a^{2})^{\frac{9}{2}}} - \frac{33289653196800x^{5}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}(x^{2} + a^{2})^{\frac{7}{2}}} - \frac{249329912832000x^{7}}{(x^{2} + a^{2})^{4}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}} + \frac{560992303872000x^{8}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{15}(x^{2} + a^{2})^{4}} + \frac{560992303872000x^{7}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{15}(x^{2} + a^{2})^{\frac{7}{2}}} - \frac{277824760012800x^{6}}{(x^{2} + a^{2})^{\frac{7}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}} - \frac{31166239104000x^{7}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}(x^{2} + a^{2})^{4}} - \frac{376666261171200x^{6}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}(x^{2} + a^{2})^{\frac{7}{2}}} + \frac{1075364006169600x^{8}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}(x^{2} + a^{2})^{7}} - \frac{226159821619200x^{6}}{(x^{2} + a^{2})^{6}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}} - \frac{5344257502080x^{4}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}(x^{2} + a^{2})^{5}} + \frac{7360316812800x^{2}}{(x^{2} + a^{2})^{4}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}} + \frac{23941678481280x^{3}}{(x^{2} + a^{2})^{\frac{9}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}} - \frac{4844306476800x^{3}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}(x^{2} + a^{2})^{4}} + \frac{189740485935000x^{15}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}(x^{2} + a^{2})^{13}} - \frac{101060018841600x^{4}}{(x^{2} + a^{2})^{4}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}} + \frac{484540056000000x^{5}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}(x^{2} + a^{2})^{4}} + \frac{240843441484800x^{4}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}(x^{2} + a^{2})^{\frac{7}{2}}} - \frac{64685573568000x^{3}}{(x^{2} + a^{2})^{\frac{7}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}} - \frac{47687940518400x^{4}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}(x^{2} + a^{2})^{4}} - \frac{84062385792000x^{3}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}(x^{2} + a^{2})^{\frac{7}{2}}} + \frac{14357424130560x^{2}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}(x^{2} + a^{2})^{\frac{7}{2}}} - \frac{143660653636500x^{13}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}(x^{2} + a^{2})^{12}} + \frac{33289653196800x^{5}}{(x^{2} + a^{2})^{\frac{7}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}} - \frac{39780081331200x^{3}}{(x^{2} + a^{2})^{4}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}} + \frac{9671092381440x^{2}}{(x^{2} + a^{2})^{\frac{7}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}} - \frac{475693585920x}{(x^{2} + a^{2})^{\frac{7}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}} + \frac{1123411004155440x^{8}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}(x^{2} + a^{2})^{\frac{15}{2}}} - \frac{357312422562480x^{6}}{(x^{2} + a^{2})^{\frac{13}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}} - \frac{101085688972800x^{6}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}(x^{2} + a^{2})^{6}} - \frac{236451697896960x^{5}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}(x^{2} + a^{2})^{\frac{11}{2}}} + \frac{73207955293200x^{4}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}(x^{2} + a^{2})^{\frac{11}{2}}} + \frac{374617280797200x^{11}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}(x^{2} + a^{2})^{11}} - \frac{83904518113920x^{4}}{(x^{2} + a^{2})^{5}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}} - \frac{2443461088320x^{2}}{(x^{2} + a^{2})^{\frac{9}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}} + \frac{17812414771200x^{2}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}(x^{2} + a^{2})^{4}} + \frac{639152881920x}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}(x^{2} + a^{2})^{\frac{7}{2}}} + \frac{418559927385600x^{12}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}(x^{2} + a^{2})^{9}} - \frac{452932728998400x^{10}}{(x^{2} + a^{2})^{8}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}} + \frac{150669061804800x^{7}}{(x^{2} + a^{2})^{\frac{13}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}} + \frac{166971627622800x^{15}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}(x^{2} + a^{2})^{\frac{25}{2}}} + \frac{189449430920820x^{9}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}(x^{2} + a^{2})^{10}} - \frac{387612706981500x^{13}}{(x^{2} + a^{2})^{12}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}} + \frac{169950965184000x^{5}}{(x^{2} + a^{2})^{4}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}} - \frac{54225297057960x^{7}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}(x^{2} + a^{2})^{9}} + \frac{56652477235200x^{4}}{(x^{2} + a^{2})^{\frac{7}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}} - \frac{372350935756800x^{6}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}(x^{2} + a^{2})^{4}} + \frac{41310785716200x^{13}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}(x^{2} + a^{2})^{\frac{23}{2}}} + \frac{75810133639800x^{11}}{(x^{2} + a^{2})^{11}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}} - \frac{103291954468560x^{11}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}(x^{2} + a^{2})^{\frac{21}{2}}} + \frac{73443018346740x^{5}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}(x^{2} + a^{2})^{8}} - \frac{189449430920820x^{9}}{(x^{2} + a^{2})^{10}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}} + \frac{3747531387600x^{12}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}(x^{2} + a^{2})^{\frac{19}{2}}} - \frac{248379967836000x^{10}}{(x^{2} + a^{2})^{\frac{17}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}} - \frac{1183294823961600x^{10}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}(x^{2} + a^{2})^{8}} - \frac{29656100073600x^{9}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}(x^{2} + a^{2})^{\frac{15}{2}}} + \frac{467364829478400x^{8}}{(x^{2} + a^{2})^{7}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}} - \frac{378989976269520x^{6}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}(x^{2} + a^{2})^{\frac{13}{2}}} + \frac{38353014226800x^{4}}{(x^{2} + a^{2})^{\frac{11}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}} + \frac{3015568624320x^{2}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}(x^{2} + a^{2})^{\frac{9}{2}}} - \frac{295398045142200x^{13}}{(x^{2} + a^{2})^{\frac{23}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}} + \frac{139143023019000x^{15}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}(x^{2} + a^{2})^{12}} + \frac{453727248975000x^{14}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}(x^{2} + a^{2})^{\frac{23}{2}}} - \frac{132041678837040x^{7}}{(x^{2} + a^{2})^{9}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}} + \frac{720657414013680x^{9}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}(x^{2} + a^{2})^{\frac{19}{2}}} + \frac{316784115648000x^{14}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}(x^{2} + a^{2})^{10}} - \frac{249978906777600x^{12}}{(x^{2} + a^{2})^{9}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}} - \frac{6040506692160x^{3}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}(x^{2} + a^{2})^{7}} + \frac{79196028912000x^{15}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}(x^{2} + a^{2})^{11}} - \frac{79516012867200x^{13}}{(x^{2} + a^{2})^{10}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}} - \frac{1040079574396800x^{11}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}(x^{2} + a^{2})^{9}} + \frac{686486145945600x^{13}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}(x^{2} + a^{2})^{\frac{19}{2}}} - \frac{563901100963200x^{11}}{(x^{2} + a^{2})^{\frac{17}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}} + \frac{447293662704000x^{9}}{(x^{2} + a^{2})^{8}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}} + \frac{126342563356800x^{7}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}(x^{2} + a^{2})^{7}} - \frac{116162396330400x^{5}}{(x^{2} + a^{2})^{6}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}} - \frac{196992988489440x^{11}}{(x^{2} + a^{2})^{\frac{21}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}} + \frac{256522851585000x^{13}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}(x^{2} + a^{2})^{11}} - \frac{643299376005000x^{12}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}(x^{2} + a^{2})^{\frac{21}{2}}} + \frac{18594781507260x^{5}}{(x^{2} + a^{2})^{8}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}} - \frac{328984969856400x^{7}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}(x^{2} + a^{2})^{\frac{17}{2}}} + \frac{48678202843200x^{3}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}(x^{2} + a^{2})^{5}} + \frac{384255812500560x^{8}}{(x^{2} + a^{2})^{\frac{15}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}} + \frac{341532874683000x^{14}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}(x^{2} + a^{2})^{\frac{25}{2}}} + \frac{148588473496320x^{9}}{(x^{2} + a^{2})^{\frac{19}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}} - \frac{649777538277000x^{11}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}(x^{2} + a^{2})^{10}} + \frac{758798783285400x^{10}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}(x^{2} + a^{2})^{\frac{19}{2}}} - \frac{9299126616840x^{3}}{(x^{2} + a^{2})^{7}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}} + \frac{150772479549120x^{5}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}(x^{2} + a^{2})^{\frac{15}{2}}} - \frac{578031492238200x^{12}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}(x^{2} + a^{2})^{\frac{23}{2}}} - \frac{2424420149760x}{(x^{2} + a^{2})^{4}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}} + \frac{1141334348857560x^{10}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}(x^{2} + a^{2})^{\frac{21}{2}}} - \frac{488814799061160x^{8}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}(x^{2} + a^{2})^{\frac{19}{2}}} - \frac{198775747170000x^{13}}{(x^{2} + a^{2})^{11}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}} + \frac{108894539754000x^{15}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}(x^{2} + a^{2})^{\frac{23}{2}}} + \frac{445477662630000x^{14}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}(x^{2} + a^{2})^{11}} - \frac{607887886320000x^{12}}{(x^{2} + a^{2})^{\frac{21}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}} + \frac{480405026930400x^{13}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}(x^{2} + a^{2})^{\frac{21}{2}}} - \frac{651545186292000x^{10}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}(x^{2} + a^{2})^{\frac{17}{2}}} - \frac{353824052353200x^{7}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}(x^{2} + a^{2})^{\frac{15}{2}}} + \frac{27812420159040x^{5}}{(x^{2} + a^{2})^{\frac{13}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}} + \frac{16588777952880x^{3}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}(x^{2} + a^{2})^{\frac{11}{2}}} - \frac{129271736613600x^{5}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}(x^{2} + a^{2})^{6}} + \frac{18258378868800x^{3}}{(x^{2} + a^{2})^{5}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}} - \frac{822602577600x}{(x^{2} + a^{2})^{\frac{9}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}} - \frac{623108279593800x^{12}}{(x^{2} + a^{2})^{\frac{23}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}} + \frac{417429069057000x^{14}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}(x^{2} + a^{2})^{12}} + \frac{250371951172200x^{6}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}(x^{2} + a^{2})^{\frac{17}{2}}} - \frac{282140085427200x^{6}}{(x^{2} + a^{2})^{4}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}} + \frac{205552193096250x^{15}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}(x^{2} + a^{2})^{\frac{27}{2}}} - \frac{23479694358120x^{4}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}(x^{2} + a^{2})^{\frac{15}{2}}} - \frac{401219762076000x^{11}}{(x^{2} + a^{2})^{10}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}} - \frac{406705701402000x^{12}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}(x^{2} + a^{2})^{10}} + \frac{371220870477600x^{10}}{(x^{2} + a^{2})^{\frac{19}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}} - \frac{979339615254000x^{11}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}(x^{2} + a^{2})^{\frac{19}{2}}} - \frac{350341648113600x^{7}}{(x^{2} + a^{2})^{\frac{17}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}} + \frac{1117287270729000x^{9}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}(x^{2} + a^{2})^{9}} + \frac{32349783094200x^{8}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}(x^{2} + a^{2})^{\frac{17}{2}}} + \frac{510232837411440x^{10}}{(x^{2} + a^{2})^{\frac{21}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}} - \frac{715653062724600x^{12}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}(x^{2} + a^{2})^{11}} + \frac{76254093424080x^{5}}{(x^{2} + a^{2})^{\frac{15}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}} - \frac{510240161655000x^{7}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}(x^{2} + a^{2})^{8}} - \frac{66529920033720x^{6}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}(x^{2} + a^{2})^{\frac{15}{2}}} - \frac{628787056308840x^{8}}{(x^{2} + a^{2})^{\frac{19}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}} + \frac{1090874850889320x^{10}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}(x^{2} + a^{2})^{10}} + \frac{133118881552800x^{6}}{(x^{2} + a^{2})^{\frac{17}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}} - \frac{406713013048440x^{8}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}(x^{2} + a^{2})^{9}} + \frac{2368148648580x^{2}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}(x^{2} + a^{2})^{\frac{13}{2}}} + \frac{395980144560000x^{14}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}(x^{2} + a^{2})^{\frac{21}{2}}} - \frac{383054827755600x^{12}}{(x^{2} + a^{2})^{\frac{19}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}} - \frac{133922400440400x^{13}}{(x^{2} + a^{2})^{\frac{21}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}} + \frac{633888215251200x^{13}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}(x^{2} + a^{2})^{10}} - \frac{603585376531200x^{11}}{(x^{2} + a^{2})^{9}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}} + \frac{555584984182800x^{9}}{(x^{2} + a^{2})^{\frac{17}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}} + \frac{779877002016000x^{9}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}(x^{2} + a^{2})^{8}} - \frac{161404582348800x^{7}}{(x^{2} + a^{2})^{7}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}} + \frac{476330189706000x^{9}}{(x^{2} + a^{2})^{9}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}} + \frac{62548525393200x^{10}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}(x^{2} + a^{2})^{9}} - \frac{284358044599200x^{8}}{(x^{2} + a^{2})^{\frac{17}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}} + \frac{1234038901867200x^{9}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}(x^{2} + a^{2})^{\frac{17}{2}}} - \frac{494149127472000x^{12}}{(x^{2} + a^{2})^{10}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}} - \frac{585302982264000x^{11}}{(x^{2} + a^{2})^{\frac{19}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}} - \frac{635629180586400x^{12}}{(x^{2} + a^{2})^{11}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}} - \frac{37878838877880x^{4}}{(x^{2} + a^{2})^{\frac{15}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}} + \frac{151048245995640x^{6}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}(x^{2} + a^{2})^{8}} + \frac{1171766730420x^{2}}{(x^{2} + a^{2})^{\frac{13}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}} + \frac{3623267519640x^{4}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}(x^{2} + a^{2})^{7}} - \frac{13861723548816x^{3}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}(x^{2} + a^{2})^{\frac{13}{2}}} - \frac{1089954714240x}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}(x^{2} + a^{2})^{4}} + \frac{1051408512000x}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}(x^{2} + a^{2})^{\frac{5}{2}}} - \frac{195854346037350x^{13}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}(x^{2} + a^{2})^{\frac{25}{2}}} - \frac{15229217203200x^{3}}{(x^{2} + a^{2})^{3}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}} + \frac{15229217203200x^{3}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}(x^{2} + a^{2})^{3}} - \frac{30167001849600x^{2}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}(x^{2} + a^{2})^{\frac{5}{2}}} - \frac{24755321606400x^{2}}{(x^{2} + a^{2})^{\frac{5}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}} + \frac{830907066389400x^{11}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}(x^{2} + a^{2})^{\frac{23}{2}}} + \frac{165595164134400x^{3}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}(x^{2} + a^{2})^{\frac{5}{2}}} + \frac{224546370048000x^{4}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}(x^{2} + a^{2})^{3}} - \frac{534646524812400x^{13}}{(x^{2} + a^{2})^{\frac{25}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}} + \frac{182554616093850x^{11}}{(x^{2} + a^{2})^{\frac{23}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}} - \frac{110155589522550x^{9}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}(x^{2} + a^{2})^{\frac{21}{2}}} - \frac{414065748096000x^{5}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}(x^{2} + a^{2})^{3}} - \frac{304295825433600x^{4}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}(x^{2} + a^{2})^{\frac{5}{2}}} - \frac{240425273088000x^{5}}{(x^{2} + a^{2})^{3}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}} + \frac{216838067202900x^{7}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}(x^{2} + a^{2})^{\frac{19}{2}}} - \frac{112198460774400x^{4}}{(x^{2} + a^{2})^{\frac{5}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}} + \frac{436327347456000x^{6}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{15}(x^{2} + a^{2})^{3}} + \frac{261796408473600x^{5}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{15}(x^{2} + a^{2})^{\frac{5}{2}}} + \frac{72949548672000x^{4}}{(x^{2} + a^{2})^{3}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}} + \frac{72401570841600x^{3}}{(x^{2} + a^{2})^{\frac{5}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}} + \frac{8675003229750x^{5}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}(x^{2} + a^{2})^{\frac{17}{2}}} - \frac{577997404756200x^{9}}{(x^{2} + a^{2})^{\frac{21}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}} + \frac{2893908397380x^{3}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}(x^{2} + a^{2})^{\frac{15}{2}}} - \frac{464922241560000x^{7}}{(x^{2} + a^{2})^{8}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}} + \frac{618057715186800x^{8}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}(x^{2} + a^{2})^{8}} - \frac{81753201953280x^{6}}{(x^{2} + a^{2})^{\frac{15}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}} + \frac{560692335379680x^{10}}{(x^{2} + a^{2})^{10}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}} - \frac{524621866426560x^{8}}{(x^{2} + a^{2})^{9}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}} - \frac{257669101296000x^{6}}{(x^{2} + a^{2})^{7}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}} + \frac{104605199463600x^{4}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}(x^{2} + a^{2})^{6}} - \frac{9081598815360x^{2}}{(x^{2} + a^{2})^{5}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}} + \frac{79046253639360x^{6}}{(x^{2} + a^{2})^{8}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}} + \frac{215987844420x}{(x^{2} + a^{2})^{6}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}} - \frac{2643656762880x^{3}}{(x^{2} + a^{2})^{\frac{11}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}} - \frac{1006098296400x}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}(x^{2} + a^{2})^{\frac{9}{2}}} - \frac{3147199766640x^{2}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}(x^{2} + a^{2})^{5}} + \frac{47312056440x^{2}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}(x^{2} + a^{2})^{6}} + \frac{15995652665850x^{7}}{(x^{2} + a^{2})^{\frac{19}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}} - \frac{43189178175000x^{5}}{(x^{2} + a^{2})^{\frac{17}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}} + \frac{237175607418750x^{14}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}(x^{2} + a^{2})^{13}} - \frac{1615605621630x^{3}}{(x^{2} + a^{2})^{\frac{15}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}} - \frac{360591153025950x^{12}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}(x^{2} + a^{2})^{12}} + \frac{879980056770150x^{10}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}(x^{2} + a^{2})^{11}} + \frac{5369361903360x}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}(x^{2} + a^{2})^{3}} - \frac{362426142383550x^{8}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}(x^{2} + a^{2})^{10}} + \frac{216856135595610x^{6}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}(x^{2} + a^{2})^{9}} - \frac{22770139392000x^{2}}{(x^{2} + a^{2})^{3}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}} - \frac{22653669104010x^{4}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}(x^{2} + a^{2})^{8}} + \frac{48791133626400x^{4}}{(x^{2} + a^{2})^{6}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}} + \frac{2511819572130x^{2}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}(x^{2} + a^{2})^{7}} + \frac{213458046676875x^{15}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}(x^{2} + a^{2})^{14}} + \frac{1890858816000x}{(x^{2} + a^{2})^{\frac{5}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}} + \frac{2967062192640x}{(x^{2} + a^{2})^{3}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}} - \frac{11556312768000x^{2}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}(x^{2} + a^{2})^{3}} - \frac{58230464160x}{(x^{2} + a^{2})^{\frac{13}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}} - \frac{175509949489875x^{13}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}(x^{2} + a^{2})^{13}} - \frac{325236964446000x^{6}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}(x^{2} + a^{2})^{7}} - \frac{18962900828640x^{4}}{(x^{2} + a^{2})^{7}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}} + \frac{1044620330690475x^{11}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}(x^{2} + a^{2})^{12}} - \frac{16817543069184x^{3}}{(x^{2} + a^{2})^{\frac{13}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}} - \frac{654604676475750x^{13}}{(x^{2} + a^{2})^{13}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}} + \frac{58103583282360x^{4}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}(x^{2} + a^{2})^{\frac{13}{2}}} - \frac{4902338129040x^{2}}{(x^{2} + a^{2})^{\frac{11}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}} - \frac{257868713814075x^{9}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}(x^{2} + a^{2})^{11}} + \frac{458281751580x}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}(x^{2} + a^{2})^{6}} + \frac{64225379694960x^{5}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}(x^{2} + a^{2})^{\frac{13}{2}}} - \frac{502728057978300x^{12}}{(x^{2} + a^{2})^{12}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}} + \frac{166133308159800x^{5}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}(x^{2} + a^{2})^{7}} + \frac{358695332931600x^{10}}{(x^{2} + a^{2})^{11}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}} + \frac{111300652108800x^{10}}{(x^{2} + a^{2})^{9}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}} + \frac{335696305944825x^{7}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}(x^{2} + a^{2})^{10}} - \frac{522341993117700x^{8}}{(x^{2} + a^{2})^{10}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}} + \frac{109111072220640x^{6}}{(x^{2} + a^{2})^{9}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}} + \frac{100372313910x}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}(x^{2} + a^{2})^{\frac{13}{2}}} + \frac{250358485815900x^{11}}{(x^{2} + a^{2})^{12}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}} - \frac{34869955804740x^{4}}{(x^{2} + a^{2})^{8}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}} - \frac{430688622592800x^{7}}{(x^{2} + a^{2})^{\frac{15}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}} - \frac{25905298059585x^{5}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}(x^{2} + a^{2})^{9}} + \frac{1323088755120x^{2}}{(x^{2} + a^{2})^{7}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}} - \frac{774360777604050x^{9}}{(x^{2} + a^{2})^{11}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}} + \frac{105096426523200x^{8}}{(x^{2} + a^{2})^{8}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}} + \frac{7068762868545x^{3}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}(x^{2} + a^{2})^{8}} - \frac{1227283849440x^{2}}{(x^{2} + a^{2})^{6}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}} - \frac{154214502480x}{(x^{2} + a^{2})^{5}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}} + \frac{106687761805800x^{7}}{(x^{2} + a^{2})^{10}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}} - \frac{71884864285290x^{5}}{(x^{2} + a^{2})^{9}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}} + \frac{2518507949580x^{3}}{(x^{2} + a^{2})^{8}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}} - \frac{191974356810x}{(x^{2} + a^{2})^{7}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}} + \frac{18594583262640x^{4}}{(x^{2} + a^{2})^{\frac{13}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}} - \frac{4215625725960x^{2}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}(x^{2} + a^{2})^{\frac{11}{2}}} - \frac{8526528912600x^{3}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}(x^{2} + a^{2})^{6}} + \frac{94640458093200x^{5}}{(x^{2} + a^{2})^{7}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}} + \frac{706666265568x}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}(x^{2} + a^{2})^{\frac{11}{2}}} + \frac{427332600432x}{(x^{2} + a^{2})^{\frac{11}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}} + \frac{598619463480x}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}(x^{2} + a^{2})^{5}} - \frac{17039526602400x^{3}}{(x^{2} + a^{2})^{6}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}} - \frac{81947666565x}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}(x^{2} + a^{2})^{7}} - \frac{11987015040000x}{(x^{2} + a^{2})^{2}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}} + \frac{59542772889600x^{2}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}(x^{2} + a^{2})^{2}} - \frac{9589612032000x}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}(x^{2} + a^{2})^{2}} - \frac{74798973849600x^{3}}{(x^{2} + a^{2})^{2}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}} + \frac{118587803709375x^{14}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}(x^{2} + a^{2})^{\frac{27}{2}}} + \frac{118998367488000x^{4}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{15}(x^{2} + a^{2})^{2}} - \frac{287140602048300x^{12}}{(x^{2} + a^{2})^{\frac{25}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}} - \frac{103698577382400x^{3}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}(x^{2} + a^{2})^{2}} + \frac{36571293158400x^{2}}{(x^{2} + a^{2})^{2}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}} + \frac{452366067228075x^{10}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}(x^{2} + a^{2})^{\frac{23}{2}}} - \frac{276105798218250x^{8}}{(x^{2} + a^{2})^{\frac{21}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}} + \frac{108185674922325x^{6}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}(x^{2} + a^{2})^{\frac{19}{2}}} + \frac{39666122496000x^{3}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{15}(x^{2} + a^{2})^{\frac{3}{2}}} - \frac{17283108392550x^{4}}{(x^{2} + a^{2})^{\frac{17}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}} + \frac{1201893257565x^{2}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}(x^{2} + a^{2})^{\frac{15}{2}}} - \frac{144519003453825x^{12}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}(x^{2} + a^{2})^{\frac{25}{2}}} + \frac{166971627622800x^{10}}{(x^{2} + a^{2})^{\frac{23}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}} - \frac{43545556454400x^{2}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}(x^{2} + a^{2})^{\frac{3}{2}}} - \frac{6799906713600x^{2}}{(x^{2} + a^{2})^{\frac{3}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}} - \frac{166278269532375x^{8}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}(x^{2} + a^{2})^{\frac{21}{2}}} + \frac{4844622182400x}{(x^{2} + a^{2})^{\frac{3}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}} + \frac{54797928985800x^{6}}{(x^{2} + a^{2})^{\frac{19}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}} - \frac{11478704061825x^{4}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}(x^{2} + a^{2})^{\frac{17}{2}}} + \frac{16078167705600x}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}(x^{2} + a^{2})^{\frac{3}{2}}} + \frac{715560906060x^{2}}{(x^{2} + a^{2})^{\frac{15}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}} + \frac{9153720576000x^{2}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{15}(x^{2} + a^{2})} - \frac{1133317785600x}{(x^{2} + a^{2})(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}} + \frac{213458046676875x^{15}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})(x^{2} + a^{2})^{\frac{29}{2}}} - \frac{822208772385000x^{13}}{(x^{2} + a^{2})^{\frac{27}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})} + \frac{1269996319191600x^{11}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})(x^{2} + a^{2})^{\frac{25}{2}}} - \frac{1001884762979100x^{9}}{(x^{2} + a^{2})^{\frac{23}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})} + \frac{424682157749850x^{7}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})(x^{2} + a^{2})^{\frac{21}{2}}} - \frac{92744647795800x^{5}}{(x^{2} + a^{2})^{\frac{19}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})} - \frac{7366565606400x}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}(x^{2} + a^{2})} + \frac{8950036995900x^{3}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})(x^{2} + a^{2})^{\frac{17}{2}}} - \frac{236235439440x}{(x^{2} + a^{2})^{\frac{15}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})} - \frac{7905853580625x^{13}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})(x^{2} + a^{2})^{\frac{27}{2}}} + \frac{24982497314775x^{11}}{(x^{2} + a^{2})^{\frac{25}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})} - \frac{30344728439025x^{9}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})(x^{2} + a^{2})^{\frac{23}{2}}} + \frac{17701910000775x^{7}}{(x^{2} + a^{2})^{\frac{21}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})} - \frac{5045514549075x^{5}}{(x + (x^{2} + a^{2})^{\frac{1}{2}})(x^{2} + a^{2})^{\frac{19}{2}}} + \frac{637233822225x^{3}}{(x^{2} + a^{2})^{\frac{17}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})} - \frac{37686583935x}{(x + (x^{2} + a^{2})^{\frac{1}{2}})(x^{2} + a^{2})^{\frac{15}{2}}} + \frac{1307674368000x}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{15}(x^{2} + a^{2})^{\frac{1}{2}}} + \frac{7976320560}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}(x^{2} + a^{2})^{4}} - \frac{20387663640}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}(x^{2} + a^{2})^{\frac{11}{2}}} - \frac{28423554150}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}(x^{2} + a^{2})^{6}} + \frac{846572616}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}(x^{2} + a^{2})^{5}} - \frac{10260954360}{(x^{2} + a^{2})^{\frac{11}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{4}} - \frac{13718295600}{(x^{2} + a^{2})^{6}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{3}} + \frac{981793612800}{(x^{2} + a^{2})^{2}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}} - \frac{13455111285}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}(x^{2} + a^{2})^{\frac{13}{2}}} - \frac{378583994880}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}(x^{2} + a^{2})^{3}} + \frac{652799347200}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{11}(x^{2} + a^{2})^{2}} - \frac{7615813590}{(x^{2} + a^{2})^{\frac{13}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{2}} + \frac{45126354384}{(x^{2} + a^{2})^{5}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{5}} - \frac{166280325120}{(x^{2} + a^{2})^{3}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{9}} + \frac{74724249600}{(x^{2} + a^{2})(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}} - \frac{25793097120}{(x^{2} + a^{2})^{\frac{7}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}} - \frac{14927431680}{(x^{2} + a^{2})^{\frac{5}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}} - \frac{283568947200}{(x^{2} + a^{2})^{\frac{3}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}} - \frac{2549725516800}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{12}(x^{2} + a^{2})^{\frac{3}{2}}} + \frac{92592247320}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}(x^{2} + a^{2})^{\frac{9}{2}}} + \frac{1886787302400}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{13}(x^{2} + a^{2})} + \frac{58948141680}{(x^{2} + a^{2})^{\frac{9}{2}}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{6}} + \frac{374537882880}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{10}(x^{2} + a^{2})^{\frac{5}{2}}} + \frac{104401945440}{(x^{2} + a^{2})^{4}(x + (x^{2} + a^{2})^{\frac{1}{2}})^{7}} - \frac{219395846880}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{8}(x^{2} + a^{2})^{\frac{7}{2}}} - \frac{653837184000}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{14}(x^{2} + a^{2})^{\frac{1}{2}}} + \frac{87178291200}{(x + (x^{2} + a^{2})^{\frac{1}{2}})^{15}}\\ \end{split}\end{equation} \]

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