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人気のある微分積分 >

integral from 0 to 10 of kx

解

\int_{0}^{10} k x d x

解

k \cdot 50

解答ステップ

\int_{0}^{10} k x d x

定数を除く:

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

= k \cdot \int_{0}^{10} x d x

べき乗則を適用する

= k [\frac{x ^{2}}{2}]_{0}^{10}

限度を計算する:

50

= k \cdot 50

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