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人気のある微分積分 >

integral from-3 to 2 of-2x

解

\int_{- 3}^{2} - 2 x d x

解

5

解答ステップ

\int_{- 3}^{2} - 2 x d x

定数を除く:

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

= - 2 \cdot \int_{- 3}^{2} x d x

べき乗則を適用する

= - 2 [\frac{x ^{2}}{2}]_{- 3}^{2}

限度を計算する:

- \frac{5}{2}

= - 2 (- \frac{5}{2})

簡素化

= 5

グラフ

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