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Solving integrals/ cos^3x*sin2xdx

Integral of cos^3x*sin2xdx dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
 pi                    
 --                    
 3                     
  /                    
 |                     
 |     3               
 |  cos (x)*sin(2*x) dx
 |                     
/                      
0
$$\int\limits_{0}^{\frac{\pi}{3}} \sin{\left(2 x \right)} \cos^{3}{\left(x \right)}\, dx$$ 
Integral(cos(x)^3*sin(2*x), (x, 0, pi/3))
The answer (Indefinite) [src] 
  /                                   
 |                                5   
 |    3                      2*cos (x)
 | cos (x)*sin(2*x) dx = C - ---------
 |                               5    
/
$$\int \sin{\left(2 x \right)} \cos^{3}{\left(x \right)}\, dx = C - \frac{2 \cos^{5}{\left(x \right)}}{5}$$
Simplify
The graph
Plot the graph f(x)
Numerical answer [src] 
0.3875
0.3875

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

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