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人気のある微分積分 >

integral from 2 to infinity of 5/(x^3)

解

\int_{2}^{\infty} \frac{5}{x ^{3}} d x

解

\frac{5}{8}

+1

十進法表記

0.625

解答ステップ

\int_{2}^{\infty} \frac{5}{x ^{3}} d x

不定積分を計算する:

\int \frac{5}{x ^{3}} d x = - \frac{5}{2 x ^{2}} + C

限度を計算する:

\int_{2}^{\infty} \frac{5}{x ^{3}} d x = 0 - (- \frac{5}{8})

= 0 - (- \frac{5}{8})

簡素化

= \frac{5}{8}

人気の例

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integral from-2 to 0 of-2

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integral from 1 to x^3 of 1/(1+ln(x))

\int_{1}^{x^{3}} \frac{1}{1 + ln ( x )} d x

integral from 0 to pi/3 of sin^2(θ)

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