integral from-2 to 2 of x-4/x

解答

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

发散

求解步骤

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

找到无定义的点（奇点）:

x = 0

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_{- 2}^{0} x - \frac{4}{x} d x + \int_{0}^{2} x - \frac{4}{x} d x

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

\int_{- t}^{t} t d t

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\int_{0}^{49} \frac{8}{x} d x