integral from-1 to 3 of (3x-5)

解答

\int_{- 1}^{3} (3 x - 5) d x

- 8

求解步骤

\int_{- 1}^{3} 3 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_{- 1}^{3} 3 x d x - \int_{- 1}^{3} 5 d x

\int_{- 1}^{3} 3 x d x = 12

\int_{- 1}^{3} 5 d x = 20

= 12 - 20

化简

= - 8

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