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Solving integrals/ scrt(cos^32x)*sin2x

Integral of scrt(cos^32x)*sin2x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                          
  /                          
 |                           
 |     __________            
 |    /    32                
 |  \/  cos  (x) *sin(2*x) dx
 |                           
/                            
0
$$\int\limits_{0}^{1} \sqrt{\cos^{32}{\left(x \right)}} \sin{\left(2 x \right)}\, dx$$ 
Integral(sqrt(cos(x)^32)*sin(2*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                     
 |                                    __________        
 |    __________                     /    32        2   
 |   /    32                       \/  cos  (x) *cos (x)
 | \/  cos  (x) *sin(2*x) dx = C - ---------------------
 |                                           9          
/
$$\int \sqrt{\cos^{32}{\left(x \right)}} \sin{\left(2 x \right)}\, dx = C - \frac{\sqrt{\cos^{32}{\left(x \right)}} \cos^{2}{\left(x \right)}}{9}$$
Simplify
The graph
Plot the graph f(x)
Numerical answer [src] 
0.111109400228278
0.111109400228278

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

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