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Solving integrals/ sin^5(x)*cos(x)

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 pi                  
 --                  
 2                   
  /                  
 |                   
 |     5             
 |  sin (x)*cos(x) dx
 |                   
/                    
0
$$\int\limits_{0}^{\frac{\pi}{2}} \sin^{5}{\left(x \right)} \cos{\left(x \right)}\, dx$$ 
Integral(sin(x)^5*cos(x), (x, 0, pi/2))
The answer (Indefinite) [src] 
  /                               
 |                            6   
 |    5                    sin (x)
 | sin (x)*cos(x) dx = C + -------
 |                            6   
/
$$\int \sin^{5}{\left(x \right)} \cos{\left(x \right)}\, dx = C + \frac{\sin^{6}{\left(x \right)}}{6}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1/6
$$\frac{1}{6}$$ 
=
= 
1/6
$$\frac{1}{6}$$ 
1/6
Numerical answer [src] 
0.166666666666667
0.166666666666667

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

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