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人気のある微分積分 >

integral from 7 to 10 of (x-8)^2

解

\int_{7}^{10} (x - 8)^{2} d x

解

3

解答ステップ

\int_{7}^{10} (x - 8)^{2} d x

拡張

(x - 8)^{2} : x^{2} - 16 x + 64

= \int_{7}^{10} x^{2} - 16 x + 64 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_{7}^{10} x^{2} d x - \int_{7}^{10} 16 x d x + \int_{7}^{10} 64 d x

\int_{7}^{10} x^{2} d x = 219

\int_{7}^{10} 16 x d x = 408

\int_{7}^{10} 64 d x = 192

= 219 - 408 + 192

簡素化

= 3

グラフ

人気の例

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