integral from-2 to 1 of 1/(x^{1/2)}

解答

\int_{- 2}^{1} \frac{1}{x ^{\frac{1}{2}}} d x

- 不存在 + 2

求解步骤

\int_{- 2}^{1} \frac{1}{x ^{\frac{1}{2}}} d x

根据未定义的点调整积分在积分范围内有个未定义的点

: 0

= \int_{- 2}^{0} \frac{1}{x ^{\frac{1}{2}}} d x + \int_{0}^{1} \frac{1}{x ^{\frac{1}{2}}} d x

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

不存在

= - 不存在 + \int_{0}^{1} \frac{1}{x ^{\frac{1}{2}}} d x

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

= - 不存在 + 2

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