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人気のある微分積分 >

integral from 1 to infinity of 3/(e^x)

解

\int_{1}^{\infty} \frac{3}{e ^{x}} d x

解

\frac{3}{e}

+1

十進法表記

1.10363 \dots

解答ステップ

\int_{1}^{\infty} \frac{3}{e ^{x}} d x

不定積分を計算する:

\int \frac{3}{e ^{x}} d x = - \frac{3}{e ^{x}} + C

限度を計算する:

\int_{1}^{\infty} \frac{3}{e ^{x}} d x = 0 - (- \frac{3}{e})

= 0 - (- \frac{3}{e})

簡素化

= \frac{3}{e}

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