integral from 0 to 5 of 2x+1

解答

\int_{0}^{5} 2 x + 1 d x

30

求解步骤

\int_{0}^{5} 2 x + 1 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}^{5} 2 x d x + \int_{0}^{5} 1 d x

\int_{0}^{5} 2 x d x = 25

\int_{0}^{5} 1 d x = 5

= 25 + 5

化简

= 30

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