integral from 0 to 6 of x-2

解答

\int_{0}^{6} x - 2 d x

6

求解步骤

\int_{0}^{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_{0}^{6} x d x - \int_{0}^{6} 2 d x

\int_{0}^{6} x d x = 18

\int_{0}^{6} 2 d x = 12

= 18 - 12

化简

= 6

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