integral from 0 to 4 of (x^3+5)

解答

\int_{0}^{4} (x^{3} + 5) d x

84

求解步骤

\int_{0}^{4} x^{3} + 5 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}^{4} x^{3} d x + \int_{0}^{4} 5 d x

\int_{0}^{4} x^{3} d x = 64

\int_{0}^{4} 5 d x = 20

= 64 + 20

化简

= 84

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