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人気のある微分積分 >

integral from 1 to 3 of 4x^3-3x^2+1

解

\int_{1}^{3} 4 x^{3} - 3 x^{2} + 1 d x

解

56

解答ステップ

\int_{1}^{3} 4 x^{3} - 3 x^{2} + 1 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_{1}^{3} 4 x^{3} d x - \int_{1}^{3} 3 x^{2} d x + \int_{1}^{3} 1 d x

\int_{1}^{3} 4 x^{3} d x = 80

\int_{1}^{3} 3 x^{2} d x = 26

\int_{1}^{3} 1 d x = 2

= 80 - 26 + 2

簡素化

= 56

グラフ

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