Integral of rdr dr

You have entered [src]

$$\int\limits_{0}^{2 \sin{\left(x \right)}} r\, dr$$

Integral(r, (r, 0, 2*sin(x)))

Detail solution

The integral of $r^{n}$ is $\frac{r^{n + 1}}{n + 1}$ when $n \neq -1$ :

$\int r\, dr = \frac{r^{2}}{2}$
Add the constant of integration:

$\frac{r^{2}}{2}+ \mathrm{constant}$

The answer is:

$\frac{r^{2}}{2}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /            2
 |            r 
 | r dr = C + --
 |            2 
/

$$\int r\, dr = C + \frac{r^{2}}{2}$$

Simplify

The answer [src]

     2   
2*sin (x)

$$2 \sin^{2}{\left(x \right)}$$

     2   
2*sin (x)

$$2 \sin^{2}{\left(x \right)}$$

2*sin(x)^2

Use the examples entering the upper and lower limits of integration.