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人気のある微分積分 >

integral from-1 to 8 of (-x^2+10x)

解

\int_{- 1}^{8} (- x^{2} + 10 x) d x

解

144

解答ステップ

\int_{- 1}^{8} - x^{2} + 10 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_{- 1}^{8} x^{2} d x + \int_{- 1}^{8} 10 x d x

\int_{- 1}^{8} x^{2} d x = 171

\int_{- 1}^{8} 10 x d x = 315

= - 171 + 315

簡素化

= 144

グラフ

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