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人気のある微分積分 >

integral from 4 to infinity of 1/(x^4)

解

\int_{4}^{\infty} \frac{1}{x ^{4}} d x

解

\frac{1}{192}

+1

十進法表記

0.00520 \dots

解答ステップ

\int_{4}^{\infty} \frac{1}{x ^{4}} d x

不定積分を計算する:

\int \frac{1}{x ^{4}} d x = - \frac{1}{3 x ^{3}} + C

限度を計算する:

\int_{4}^{\infty} \frac{1}{x ^{4}} d x = 0 - (- \frac{1}{192})

= 0 - (- \frac{1}{192})

簡素化

= \frac{1}{192}

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