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人気のある微分積分 >

integral from 1 to infinity of 1/(x^5)

解

\int_{1}^{\infty} \frac{1}{x ^{5}} d x

解

\frac{1}{4}

+1

十進法表記

0.25

解答ステップ

\int_{1}^{\infty} \frac{1}{x ^{5}} d x

不定積分を計算する:

\int \frac{1}{x ^{5}} d x = - \frac{1}{4 x ^{4}} + C

限度を計算する:

\int_{1}^{\infty} \frac{1}{x ^{5}} d x = 0 - (- \frac{1}{4})

= 0 - (- \frac{1}{4})

簡素化

= \frac{1}{4}

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