Mister Exam

Integral of 2sinxx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 pi              
 --              
 3               
  /              
 |               
 |  2*sin(x)*x dx
 |               
/                
0                
$$\int\limits_{0}^{\frac{\pi}{3}} x 2 \sin{\left(x \right)}\, dx$$
Integral((2*sin(x))*x, (x, 0, pi/3))
The answer (Indefinite) [src]
  /                                         
 |                                          
 | 2*sin(x)*x dx = C + 2*sin(x) - 2*x*cos(x)
 |                                          
/                                           
$$\int x 2 \sin{\left(x \right)}\, dx = C - 2 x \cos{\left(x \right)} + 2 \sin{\left(x \right)}$$
The graph
The answer [src]
  ___   pi
\/ 3  - --
        3 
$$- \frac{\pi}{3} + \sqrt{3}$$
=
=
  ___   pi
\/ 3  - --
        3 
$$- \frac{\pi}{3} + \sqrt{3}$$
sqrt(3) - pi/3
Numerical answer [src]
0.68485325637228
0.68485325637228

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