integral from-1 to 3 of-x+3

解答

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

8

求解步骤

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

\int_{- 1}^{3} x d x = 4

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

= - 4 + 12

化简

= 8

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