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

解答

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

554

求解步骤

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

\int_{3}^{5} 4 x^{3} d x = 544

\int_{3}^{5} 5 d x = 10

= 544 + 10

化简

= 554

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