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人気のある微分積分 >

integral from 1 to infinity of 7/(x^7)

解

\int_{1}^{\infty} \frac{7}{x ^{7}} d x

解

\frac{7}{6}

+1

十進法表記

1.16666 \dots

解答ステップ

\int_{1}^{\infty} \frac{7}{x ^{7}} d x

不定積分を計算する:

\int \frac{7}{x ^{7}} d x = - \frac{7}{6 x ^{6}} + C

限度を計算する:

\int_{1}^{\infty} \frac{7}{x ^{7}} d x = 0 - (- \frac{7}{6})

= 0 - (- \frac{7}{6})

簡素化

= \frac{7}{6}

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