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人気のある微分積分 >

integral from 0 to 1 of 3e^x

解

\int_{0}^{1} 3 e^{x} d x

解

3 (e - 1)

+1

十進法表記

5.15484 \dots

解答ステップ

\int_{0}^{1} 3 e^{x} d x

定数を除く:

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

= 3 \cdot \int_{0}^{1} e^{x} d x

共通積分を使用する:

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

= 3 [e^{x}]_{0}^{1}

限度を計算する:

e - 1

= 3 (e - 1)

グラフ

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