integral from 0 to 1 of (55)/(4y-1)

解答

\int_{0}^{1} \frac{55}{4 y - 1} d y

发散

求解步骤

\int_{0}^{1} \frac{55}{4 y - 1} d y

找到无定义的点（奇点）:

y = \frac{1}{4}

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{1}{4}} \frac{55}{4 y - 1} d y + \int_{\frac{1}{4}}^{1} \frac{55}{4 y - 1} d y

\int_{0}^{\frac{1}{4}} \frac{55}{4 y - 1} d y =

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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