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Integral of sin(2x)*sin(6x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  pi                     
  --                     
  4                      
   /                     
  |                      
  |  sin(2*x)*sin(6*x) dx
  |                      
 /                       
-pi                      
----                     
 3                       
$$\int\limits_{- \frac{\pi}{3}}^{\frac{\pi}{4}} \sin{\left(2 x \right)} \sin{\left(6 x \right)}\, dx$$
Integral(sin(2*x)*sin(6*x), (x, -pi/3, pi/4))
The graph
The answer [src]
     ___
-3*\/ 3 
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   32   
$$- \frac{3 \sqrt{3}}{32}$$
=
=
     ___
-3*\/ 3 
--------
   32   
$$- \frac{3 \sqrt{3}}{32}$$
-3*sqrt(3)/32
Numerical answer [src]
-0.162379763209582
-0.162379763209582

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