integral of-(10)/(x^{11)}

解答

\int - \frac{10}{x ^{11}} d x

\frac{1}{x ^{10}} + C

求解步骤

\int - \frac{10}{x ^{11}} d x

提出常数:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 10 \cdot \int \frac{1}{x ^{11}} d x

使用幂法则

= - 10 (- \frac{1}{10 x ^{10}})

化简

- 10 (- \frac{1}{10 x ^{10}}) : \frac{1}{x ^{10}}

= \frac{1}{x ^{10}}

解答补常数

= \frac{1}{x ^{10}} + C

\frac{\partial}{\partial x} (\frac{y + x}{y + z})

\frac{\partial}{\partial x} (ln (x) - 2)

x \to 1 lim (\frac{2 x}{x ^{2} + x})

\frac{\partial}{\partial y} (- x y)

\frac{d}{d x} ((2 x^{2} + 1)^{4})