integral from-2 to 1 of (2x^2+3)

解答

\int_{- 2}^{1} (2 x^{2} + 3) d x

15

求解步骤

\int_{- 2}^{1} 2 x^{2} + 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_{- 2}^{1} 2 x^{2} d x + \int_{- 2}^{1} 3 d x

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

\int_{- 2}^{1} 3 d x = 9

= 6 + 9

化简

= 15

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