integral from 0 to 2 of 4/(x^2)

解答

\int_{0}^{2} \frac{4}{x ^{2}} d x

发散

求解步骤

\int_{0}^{2} \frac{4}{x ^{2}} d x

提出常数:

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

= 4 \cdot \int_{0}^{2} \frac{1}{x ^{2}} d x

使用幂法则

= 4 [- \frac{1}{x}]_{0}^{2}

带入上下限计算后得:

发散

= 发散

\frac{d}{d s} (\frac{- s ^{2} + 1}{( s ^{2} + 1 ) ^{2}})

\frac{\partial}{\partial x} (x^{2 + 2 y^{2} + 3 z^{2}})

\int \frac{x + 4}{x ^{3} + x ^{2} - 2} d x

\frac{d}{d y} (x^{y^{z}})

d er i v a t i v e f (x) = \frac{5}{1 - 9 x}