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人気のある微分積分 >

integral from 0 to 2 of 15x^2

解

\int_{0}^{2} 15 x^{2} d x

解

40

解答ステップ

\int_{0}^{2} 15 x^{2} d x

定数を除く:

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

= 15 \cdot \int_{0}^{2} x^{2} d x

べき乗則を適用する

= 15 [\frac{x ^{3}}{3}]_{0}^{2}

限度を計算する:

\frac{8}{3}

= 15 \cdot \frac{8}{3}

簡素化

= 40

グラフ

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