integral from-1 to 5 of 2x+3

解答

\int_{- 1}^{5} 2 x + 3 d x

42

求解步骤

\int_{- 1}^{5} 2 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}^{5} 2 x d x + \int_{- 1}^{5} 3 d x

\int_{- 1}^{5} 2 x d x = 24

\int_{- 1}^{5} 3 d x = 18

= 24 + 18

化简

= 42

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