总述:本次共解1题。其中
☆整数计算1题
〖1/1整数列竖式计算〗
题型:整数乘法
原题:1818213934288295679717369943152460447027290669964066816*1818213934288295679717369943152460447027290669964066816Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ arcsin(\frac{x}{sqrt(xx - 2x + 2)})\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = arcsin(\frac{x}{sqrt(x^{2} - 2x + 2)})\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( arcsin(\frac{x}{sqrt(x^{2} - 2x + 2)})\right)}{dx}\\=&(\frac{(\frac{1}{sqrt(x^{2} - 2x + 2)} + \frac{x*-(2x - 2 + 0)*\frac{1}{2}}{(x^{2} - 2x + 2)(x^{2} - 2x + 2)^{\frac{1}{2}}})}{((1 - (\frac{x}{sqrt(x^{2} - 2x + 2)})^{2})^{\frac{1}{2}})})\\=&\frac{1}{(\frac{-x^{2}}{sqrt(x^{2} - 2x + 2)^{2}} + 1)^{\frac{1}{2}}sqrt(x^{2} - 2x + 2)} - \frac{x^{2}}{(\frac{-x^{2}}{sqrt(x^{2} - 2x + 2)^{2}} + 1)^{\frac{1}{2}}(x^{2} - 2x + 2)^{\frac{3}{2}}} + တ
解:
1818213934288295679717369943152460447027290669964066816*1818213934288295679717369943152460447027290669964066816 = 3305901910840122800031360823888883293563057154325040052182427627261046280168269958077541122668104633712377856
列竖式计算:
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| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 7 | 2 | 7 | 2 | 8 | 5 | 5 | 7 | 3 | 7 | 1 | 5 | 3 | 1 | 8 | 2 | 7 | 1 | 8 | 8 | 6 | 9 | 4 | 7 | 9 | 7 | 7 | 2 | 6 | 0 | 9 | 8 | 4 | 1 | 7 | 8 | 8 | 1 | 0 | 9 | 1 | 6 | 2 | 6 | 7 | 9 | 8 | 5 | 6 | 2 | 6 | 7 | 2 | 6 | 4 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 3 | 6 | 3 | 6 | 4 | 2 | 7 | 8 | 6 | 8 | 5 | 7 | 6 | 5 | 9 | 1 | 3 | 5 | 9 | 4 | 3 | 4 | 7 | 3 | 9 | 8 | 8 | 6 | 3 | 0 | 4 | 9 | 2 | 0 | 8 | 9 | 4 | 0 | 5 | 4 | 5 | 8 | 1 | 3 | 3 | 9 | 9 | 2 | 8 | 1 | 3 | 3 | 6 | 3 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 9 | 0 | 9 | 1 | 0 | 6 | 9 | 6 | 7 | 1 | 4 | 4 | 1 | 4 | 7 | 8 | 3 | 9 | 8 | 5 | 8 | 6 | 8 | 4 | 9 | 7 | 1 | 5 | 7 | 6 | 2 | 3 | 0 | 2 | 2 | 3 | 5 | 1 | 3 | 6 | 4 | 5 | 3 | 3 | 4 | 9 | 8 | 2 | 0 | 3 | 3 | 4 | 0 | 8 | 0 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | 8 | 1 | 8 | 2 | 1 | 3 | 9 | 3 | 4 | 2 | 8 | 8 | 2 | 9 | 5 | 6 | 7 | 9 | 7 | 1 | 7 | 3 | 6 | 9 | 9 | 4 | 3 | 1 | 5 | 2 | 4 | 6 | 0 | 4 | 4 | 7 | 0 | 2 | 7 | 2 | 9 | 0 | 6 | 6 | 9 | 9 | 6 | 4 | 0 | 6 | 6 | 8 | 1 | 6 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 5 | 4 | 5 | 4 | 6 | 4 | 1 | 8 | 0 | 2 | 8 | 6 | 4 | 8 | 8 | 7 | 0 | 3 | 9 | 1 | 5 | 2 | 1 | 0 | 9 | 8 | 2 | 9 | 4 | 5 | 7 | 3 | 8 | 1 | 3 | 4 | 1 | 0 | 8 | 1 | 8 | 7 | 2 | 0 | 0 | 9 | 8 | 9 | 2 | 2 | 0 | 0 | 4 | 4 | 8 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 7 | 2 | 7 | 2 | 8 | 5 | 5 | 7 | 3 | 7 | 1 | 5 | 3 | 1 | 8 | 2 | 7 | 1 | 8 | 8 | 6 | 9 | 4 | 7 | 9 | 7 | 7 | 2 | 6 | 0 | 9 | 8 | 4 | 1 | 7 | 8 | 8 | 1 | 0 | 9 | 1 | 6 | 2 | 6 | 7 | 9 | 8 | 5 | 6 | 2 | 6 | 7 | 2 | 6 | 4 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | 6 | 3 | 6 | 3 | 9 | 2 | 5 | 4 | 0 | 8 | 5 | 9 | 4 | 6 | 6 | 1 | 1 | 1 | 7 | 4 | 5 | 6 | 3 | 2 | 9 | 4 | 8 | 8 | 3 | 7 | 2 | 1 | 4 | 4 | 0 | 2 | 3 | 2 | 4 | 5 | 6 | 1 | 6 | 0 | 2 | 9 | 6 | 7 | 6 | 6 | 0 | 1 | 3 | 4 | 4 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | 6 | 3 | 6 | 3 | 9 | 2 | 5 | 4 | 0 | 8 | 5 | 9 | 4 | 6 | 6 | 1 | 1 | 1 | 7 | 4 | 5 | 6 | 3 | 2 | 9 | 4 | 8 | 8 | 3 | 7 | 2 | 1 | 4 | 4 | 0 | 2 | 3 | 2 | 4 | 5 | 6 | 1 | 6 | 0 | 2 | 9 | 6 | 7 | 6 | 6 | 0 | 1 | 3 | 4 | 4 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | 0 | 9 | 0 | 9 | 2 | 8 | 3 | 6 | 0 | 5 | 7 | 2 | 9 | 7 | 7 | 4 | 0 | 7 | 8 | 3 | 0 | 4 | 2 | 1 | 9 | 6 | 5 | 8 | 9 | 1 | 4 | 7 | 6 | 2 | 6 | 8 | 2 | 1 | 6 | 3 | 7 | 4 | 4 | 0 | 1 | 9 | 7 | 8 | 4 | 4 | 0 | 0 | 8 | 9 | 6 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 5 | 4 | 5 | 4 | 6 | 4 | 1 | 8 | 0 | 2 | 8 | 6 | 4 | 8 | 8 | 7 | 0 | 3 | 9 | 1 | 5 | 2 | 1 | 0 | 9 | 8 | 2 | 9 | 4 | 5 | 7 | 3 | 8 | 1 | 3 | 4 | 1 | 0 | 8 | 1 | 8 | 7 | 2 | 0 | 0 | 9 | 8 | 9 | 2 | 2 | 0 | 0 | 4 | 4 | 8 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | 2 | 7 | 2 | 7 | 4 | 9 | 7 | 5 | 4 | 0 | 0 | 1 | 8 | 0 | 6 | 9 | 7 | 5 | 8 | 0 | 2 | 1 | 5 | 8 | 9 | 6 | 0 | 2 | 0 | 6 | 7 | 2 | 2 | 3 | 1 | 2 | 9 | 1 | 9 | 1 | 0 | 3 | 4 | 6 | 8 | 9 | 7 | 4 | 8 | 4 | 6 | 7 | 7 | 1 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | 8 | 1 | 8 | 2 | 1 | 3 | 9 | 3 | 4 | 2 | 8 | 8 | 2 | 9 | 5 | 6 | 7 | 9 | 7 | 1 | 7 | 3 | 6 | 9 | 9 | 4 | 3 | 1 | 5 | 2 | 4 | 6 | 0 | 4 | 4 | 7 | 0 | 2 | 7 | 2 | 9 | 0 | 6 | 6 | 9 | 9 | 6 | 4 | 0 | 6 | 6 | 8 | 1 | 6 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | 1 | 2 | 7 | 2 | 7 | 4 | 9 | 7 | 5 | 4 | 0 | 0 | 1 | 8 | 0 | 6 | 9 | 7 | 5 | 8 | 0 | 2 | 1 | 5 | 8 | 9 | 6 | 0 | 2 | 0 | 6 | 7 | 2 | 2 | 3 | 1 | 2 | 9 | 1 | 9 | 1 | 0 | 3 | 4 | 6 | 8 | 9 | 7 | 4 | 8 | 4 | 6 | 7 | 7 | 1 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | 1 | 6 | 3 | 6 | 3 | 9 | 2 | 5 | 4 | 0 | 8 | 5 | 9 | 4 | 6 | 6 | 1 | 1 | 1 | 7 | 4 | 5 | 6 | 3 | 2 | 9 | 4 | 8 | 8 | 3 | 7 | 2 | 1 | 4 | 4 | 0 | 2 | 3 | 2 | 4 | 5 | 6 | 1 | 6 | 0 | 2 | 9 | 6 | 7 | 6 | 6 | 0 | 1 | 3 | 4 | 4 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | 1 | 2 | 7 | 2 | 7 | 4 | 9 | 7 | 5 | 4 | 0 | 0 | 1 | 8 | 0 | 6 | 9 | 7 | 5 | 8 | 0 | 2 | 1 | 5 | 8 | 9 | 6 | 0 | 2 | 0 | 6 | 7 | 2 | 2 | 3 | 1 | 2 | 9 | 1 | 9 | 1 | 0 | 3 | 4 | 6 | 8 | 9 | 7 | 4 | 8 | 4 | 6 | 7 | 7 | 1 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | 1 | 0 | 9 | 0 | 9 | 2 | 8 | 3 | 6 | 0 | 5 | 7 | 2 | 9 | 7 | 7 | 4 | 0 | 7 | 8 | 3 | 0 | 4 | 2 | 1 | 9 | 6 | 5 | 8 | 9 | 1 | 4 | 7 | 6 | 2 | 6 | 8 | 2 | 1 | 6 | 3 | 7 | 4 | 4 | 0 | 1 | 9 | 7 | 8 | 4 | 4 | 0 | 0 | 8 | 9 | 6 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | 9 | 0 | 9 | 1 | 0 | 6 | 9 | 6 | 7 | 1 | 4 | 4 | 1 | 4 | 7 | 8 | 3 | 9 | 8 | 5 | 8 | 6 | 8 | 4 | 9 | 7 | 1 | 5 | 7 | 6 | 2 | 3 | 0 | 2 | 2 | 3 | 5 | 1 | 3 | 6 | 4 | 5 | 3 | 3 | 4 | 9 | 8 | 2 | 0 | 3 | 3 | 4 | 0 | 8 | 0 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 1 | 6 | 3 | 6 | 3 | 9 | 2 | 5 | 4 | 0 | 8 | 5 | 9 | 4 | 6 | 6 | 1 | 1 | 1 | 7 | 4 | 5 | 6 | 3 | 2 | 9 | 4 | 8 | 8 | 3 | 7 | 2 | 1 | 4 | 4 | 0 | 2 | 3 | 2 | 4 | 5 | 6 | 1 | 6 | 0 | 2 | 9 | 6 | 7 | 6 | 6 | 0 | 1 | 3 | 4 | 4 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
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