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人気のある微分積分 >

integral from 0 to r of (r-(r^3)/(r^2))

解

\int_{0}^{r} (r - \frac{r ^{3}}{r ^{2}}) d r

解

0

解答ステップ

\int_{0}^{r} r - \frac{r ^{3}}{r ^{2}} d r

r - \frac{r ^{3}}{r ^{2}} = 0

= \int_{0}^{r} 0 d r

定数の積分:

\int a d x = a x

= [0 \cdot r]_{0}^{r}

簡素化

= [0]_{0}^{r}

限度を計算する:

0

= 0

グラフ

人気の例

integral from 0 to pi of sqrt(sin^3(x))

\int_{0}^{π} sin^{3} (x) d x

integral from 2 to 4 of y^2

\int_{2}^{4} y^{2} d y

integral from pi/2 to pi of (x-sin(x))

\int_{\frac{π}{2}}^{π} (x - sin (x)) d x

integral from-1/2 to 5/4 of x^3

\int_{- \frac{1}{2}}^{\frac{5}{4}} x^{3} d x

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

\int_{0}^{1} \frac{e ^{x} - 1}{e ^{x} + 1} d x