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人気のある微分積分 >

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

解

\int_{0}^{4} (\frac{x}{1 + x ^{4}}) d x

解

\frac{1}{2} arctan (16)

+1

十進法表記

0.75418 \dots

解答ステップ

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

不定積分を計算する:

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

限度を計算する:

\int_{0}^{4} (\frac{x}{1 + x ^{4}}) d x = \frac{1}{2} arctan (16) - 0

= \frac{1}{2} arctan (16) - 0

簡素化

= \frac{1}{2} arctan (16)

グラフ

人気の例

integral from 0 to 2 of x/((x-1)^2(x+1))

\int_{0}^{2} \frac{x}{( x - 1 ) ^{2} ( x + 1 )} d x

integral from 0 to 1 of sin(y^2)y

\int_{0}^{1} sin (y^{2}) y d y

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