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人気のある微分積分 >

integral from-infinity to-2 of 2/(x^4)

解

\int_{- \infty}^{- 2} \frac{2}{x ^{4}} d x

解

\frac{1}{12}

+1

十進法表記

0.08333 \dots

解答ステップ

\int_{- \infty}^{- 2} \frac{2}{x ^{4}} d x

不定積分を計算する:

\int \frac{2}{x ^{4}} d x = - \frac{2}{3 x ^{3}} + C

限度を計算する:

\int_{- \infty}^{- 2} \frac{2}{x ^{4}} d x = \frac{1}{12} - 0

= \frac{1}{12} - 0

簡素化

= \frac{1}{12}

人気の例

integral from 0 to 4 of sqrt(x-1)

\int_{0}^{4} x - 1 d x

integral from 0 to 1 of (15ln(x))

\int_{0}^{1} (15 ln (x)) d x

integral from 2 to 4 of 3x^2+1

\int_{2}^{4} 3 x^{2} + 1 d x

integral from 0 to 1 of x^2+3

\int_{0}^{1} x^{2} + 3 d x

integral from 0 to 1 of x^3sqrt(1+x^4)

\int_{0}^{1} x^{3} 1 + x^{4} d x