integral from 2 to 4 of-x+4

解答

\int_{2}^{4} - x + 4 d x

2

求解步骤

\int_{2}^{4} - x + 4 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}^{4} x d x + \int_{2}^{4} 4 d x

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

\int_{2}^{4} 4 d x = 8

= - 6 + 8

化简

= 2

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