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Solving integrals/ sin2xcos^5xdx

Integral of sin2xcos^5xdx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                    
  /                    
 |                     
 |              5      
 |  sin(2*x)*cos (x) dx
 |                     
/                      
0
$$\int\limits_{0}^{1} \sin{\left(2 x \right)} \cos^{5}{\left(x \right)}\, dx$$ 
Integral(sin(2*x)*cos(x)^5, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                   
 |                                7   
 |             5             2*cos (x)
 | sin(2*x)*cos (x) dx = C - ---------
 |                               7    
/
$$\int \sin{\left(2 x \right)} \cos^{5}{\left(x \right)}\, dx = C - \frac{2 \cos^{7}{\left(x \right)}}{7}$$
Simplify
Numerical answer [src] 
0.281873768618922
0.281873768618922

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

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