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人気のある >

integral from 0 to 2 of 10x

解

\int_{0}^{2} 10 x d x

解

20

解答ステップ

\int_{0}^{2} 10 x d x

定数を除く:

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

= 10 \cdot \int_{0}^{2} x d x

べき乗則を適用する

: [\frac{x ^{2}}{2}]_{0}^{2}

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

限度を計算する:

2

= 10 \cdot 2

簡素化

= 20

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