integral from-4 to 4 of x-2

解答

\int_{- 4}^{4} x - 2 d x

- 16

求解步骤

\int_{- 4}^{4} x - 2 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_{- 4}^{4} x d x - \int_{- 4}^{4} 2 d x

\int_{- 4}^{4} x d x = 0

\int_{- 4}^{4} 2 d x = 16

= 0 - 16

化简

= - 16

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