integral from 0 to 5 of x-5

解答

\int_{0}^{5} x - 5 d x

- \frac{25}{2}

十进制

- 12.5

求解步骤

\int_{0}^{5} x - 5 d x

使用积分加法定则:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{5} x d x - \int_{0}^{5} 5 d x

\int_{0}^{5} x d x = \frac{25}{2}

\int_{0}^{5} 5 d x = 25

= \frac{25}{2} - 25

化简

\frac{25}{2} - 25 : - \frac{25}{2}

= - \frac{25}{2}

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