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人気のある微分積分 >

integral from 0 to 2 of 4x^3-12x^2+8x

解

\int_{0}^{2} 4 x^{3} - 12 x^{2} + 8 x d x

解

0

解答ステップ

\int_{0}^{2} 4 x^{3} - 12 x^{2} + 8 x d x

総和規則を適用する:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{2} 4 x^{3} d x - \int_{0}^{2} 12 x^{2} d x + \int_{0}^{2} 8 x d x

\int_{0}^{2} 4 x^{3} d x = 16

\int_{0}^{2} 12 x^{2} d x = 32

\int_{0}^{2} 8 x d x = 16

= 16 - 32 + 16

簡素化

= 0

グラフ

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