integral from 3 to 6 of (4x-4)/(x^2-5x)

解答

\int_{3}^{6} \frac{4 x - 4}{x ^{2} - 5 x} d x

发散

求解步骤

\int_{3}^{6} \frac{4 x - 4}{x ^{2} - 5 x} d x

找到无定义的点（奇点）:

x = 5

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_{3}^{5} \frac{4 x - 4}{x ^{2} - 5 x} d x + \int_{5}^{6} \frac{4 x - 4}{x ^{2} - 5 x} d x

\int_{3}^{5} \frac{4 x - 4}{x ^{2} - 5 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

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