integral from 2 to 18 of (4x^3-2x+2)

解答

\int_{2}^{18} (4 x^{3} - 2 x + 2) d x

104672

求解步骤

\int_{2}^{18} 4 x^{3} - 2 x + 2 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}^{18} 4 x^{3} d x - \int_{2}^{18} 2 x d x + \int_{2}^{18} 2 d x

\int_{2}^{18} 4 x^{3} d x = 104960

\int_{2}^{18} 2 x d x = 320

\int_{2}^{18} 2 d x = 32

= 104960 - 320 + 32

化简

= 104672

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