integral from-1 to 2 of 4x-6x^2

解答

\int_{- 1}^{2} 4 x - 6 x^{2} d x

- 12

求解步骤

\int_{- 1}^{2} 4 x - 6 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_{- 1}^{2} 4 x d x - \int_{- 1}^{2} 6 x^{2} d x

\int_{- 1}^{2} 4 x d x = 6

\int_{- 1}^{2} 6 x^{2} d x = 18

= 6 - 18

化简

= - 12

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