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人気のある微分積分 >

integral from-100 to 0 of-2ax

解

\int_{- 100}^{0} - 2 a x d x

解

10000 a

解答ステップ

\int_{- 100}^{0} - 2 a x d x

定数を除く:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 2 a \cdot \int_{- 100}^{0} x d x

べき乗則を適用する

= - 2 a [\frac{x ^{2}}{2}]_{- 100}^{0}

限度を計算する:

- 5000

= - 2 a (- 5000)

簡素化

= 10000 a

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