integral from-7 to 7 of (4x-3)

解答

\int_{- 7}^{7} (4 x - 3) d x

- 42

求解步骤

\int_{- 7}^{7} 4 x - 3 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_{- 7}^{7} 4 x d x - \int_{- 7}^{7} 3 d x

\int_{- 7}^{7} 4 x d x = 0

\int_{- 7}^{7} 3 d x = 42

= 0 - 42

化简

= - 42

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