en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of re^r

Solution

\int r e^{r} d r

Solution

e^{r} r - e^{r} + C

Solution steps

\int r e^{r} d r

Apply Integration By Parts

: e^{r} r - \int e^{r} d r

= e^{r} r - \int e^{r} d r

\int e^{r} d r = e^{r}

= e^{r} r - e^{r}

Add a constant to the solution

= e^{r} r - e^{r} + C

Popular Examples

derivative of 2xe^{x-1}+e^{x-1}(x^2+1)derivative of

2 x e^{x - 1} + e^{x - 1} (x^{2} + 1)

integral of (e^{3x}-4)^5*3e^{3x}

\int (e^{3 x} - 4)^{5} \cdot 3 e^{3 x} d x

integral of arccot(9y)

\int arccot (9 y) d y

(d^2)/(dx^2)((x^3+8)e^x)

\frac{d ^{2}}{d x ^{2}} ((x^{3} + 8) e^{x})

derivative of {r}(xx)

\frac{d}{d x} (r (x) x)

Frequently Asked Questions (FAQ)

What is the integral of re^r ?
The integral of re^r is e^rr-e^r+C