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Integral of cos^5(x)*sin(2x) dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
 pi                    
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 2                     
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 |     5               
 |  cos (x)*sin(2*x) dx
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0                      
$$\int\limits_{0}^{\frac{\pi}{2}} \sin{\left(2 x \right)} \cos^{5}{\left(x \right)}\, dx$$
Integral(cos(x)^5*sin(2*x), (x, 0, pi/2))
The answer (Indefinite) [src]
  /                                   
 |                                7   
 |    5                      2*cos (x)
 | cos (x)*sin(2*x) dx = C - ---------
 |                               7    
/                                     
$$\int \sin{\left(2 x \right)} \cos^{5}{\left(x \right)}\, dx = C - \frac{2 \cos^{7}{\left(x \right)}}{7}$$
Numerical answer [src]
0.285714285714286
0.285714285714286

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