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人気のある微分積分 >

integral from 0 to 100 of 5ax

解

\int_{0}^{100} 5 a x d x

解

25000 a

解答ステップ

\int_{0}^{100} 5 a x d x

定数を除く:

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

= 5 a \cdot \int_{0}^{100} x d x

べき乗則を適用する

= 5 a [\frac{x ^{2}}{2}]_{0}^{100}

限度を計算する:

5000

= 5 a \cdot 5000

簡素化

= 25000 a

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