integral from-3 to 0 of x^2-20

解答

\int_{- 3}^{0} x^{2} - 20 d x

- 51

求解步骤

\int_{- 3}^{0} x^{2} - 20 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_{- 3}^{0} x^{2} d x - \int_{- 3}^{0} 20 d x

\int_{- 3}^{0} x^{2} d x = 9

\int_{- 3}^{0} 20 d x = 60

= 9 - 60

化简

= - 51

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