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人気のある微分積分 >

integral from 0 to 5 of 4x

解

\int_{0}^{5} 4 x d x

解

50

解答ステップ

\int_{0}^{5} 4 x d x

定数を除く:

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

= 4 \cdot \int_{0}^{5} x d x

べき乗則を適用する

= 4 [\frac{x ^{2}}{2}]_{0}^{5}

限度を計算する:

\frac{25}{2}

= 4 \cdot \frac{25}{2}

簡素化

= 50

グラフ

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