integral from 0 to pi of sec^2(x)

解答

\int_{0}^{π} sec^{2} (x) d x

发散

求解步骤

\int_{0}^{π} sec^{2} (x) d x

取

sec^{2} (x)

的分母，令其等于零:

x = \frac{π}{2}

如果存在

b, a < b < c, f (b) =

无定义

, \int_{a}^{c} f (x) d x = \int_{a}^{b} f (x) d x + \int_{b}^{c} f (x) d x

= \int_{0}^{\frac{π}{2}} sec^{2} (x) d x + \int_{\frac{π}{2}}^{π} sec^{2} (x) d x

\int_{0}^{\frac{π}{2}} sec^{2} (x) d x =

发散

如果表达式有部分发散，则整个表达式发散

= 发散

d er i v a t i v e y = 8 arcsin (\frac{x}{4}) - \frac{x 16 - x ^{2}}{2}

\frac{\partial}{\partial x} (e^{y} cos (x))

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

l a pl a ce t r an s f or m e^{- 2 t} sin (t)

x \to a lim (\frac{3}{0})