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人気のある微分積分 >

integral from-1 to 5 of (4x^3-3x^2+1)

解

\int_{- 1}^{5} (4 x^{3} - 3 x^{2} + 1) d x

解

504

解答ステップ

\int_{- 1}^{5} 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}^{5} 4 x^{3} d x - \int_{- 1}^{5} 3 x^{2} d x + \int_{- 1}^{5} 1 d x

\int_{- 1}^{5} 4 x^{3} d x = 624

\int_{- 1}^{5} 3 x^{2} d x = 126

\int_{- 1}^{5} 1 d x = 6

= 624 - 126 + 6

簡素化

= 504

グラフ

人気の例

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integral from-1 to 1 of x^3-2x^2+5

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integral from 1 to 2 of (x^2-1)^2

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