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人気のある微分積分 >

integral from-2 to 7 of ()((t-7)(1-t))

解

\int_{- 2}^{7} \frac{d}{d t} ((t - 7) (1 - t)) d t

解

27

解答ステップ

\int_{- 2}^{7} \frac{d}{d t} ((t - 7) (1 - t)) d t

\frac{d}{d t} ((t - 7) (1 - t)) = - 2 t + 8

= \int_{- 2}^{7} - 2 t + 8 d t

\int_{- 2}^{7} - 2 t + 8 d t = 27

= 27

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