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人気のある微分積分 >

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

解

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

解

\frac{π}{12}

+1

十進法表記

0.26179 \dots

解答ステップ

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

不定積分を計算する:

\int \frac{x}{4 - x ^{4}} d x = \frac{1}{2} arcsin (\frac{1}{2} x^{2}) + C

限度を計算する:

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

= \frac{π}{12} - 0

簡素化

= \frac{π}{12}

グラフ

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