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人気のある微分積分 >

integral from 0 to b of 7e^x

解

\int_{0}^{b} 7 e^{x} d x

解

7 (e^{b} - 1)

解答ステップ

\int_{0}^{b} 7 e^{x} d x

定数を除く:

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

= 7 \cdot \int_{0}^{b} e^{x} d x

共通積分を使用する:

\int e^{x} d x = e^{x}

= 7 [e^{x}]_{0}^{b}

限度を計算する:

e^{b} - 1

= 7 (e^{b} - 1)

人気の例

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