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Solving integrals/ sinx*sinx*cosx

Integral of sinx*sinx*cosx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 pi                        
 --                        
 2                         
  /                        
 |                         
 |  sin(x)*sin(x)*cos(x) dx
 |                         
/                          
0
$$\int\limits_{0}^{\frac{\pi}{2}} \sin{\left(x \right)} \sin{\left(x \right)} \cos{\left(x \right)}\, dx$$ 
Integral((sin(x)*sin(x))*cos(x), (x, 0, pi/2))
Detail solution

  1. Let .

    Then let and substitute :

    1. The integral of is when :

    Now substitute back in:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                 3   
 |                               sin (x)
 | sin(x)*sin(x)*cos(x) dx = C + -------
 |                                  3   
/
$$\int \sin{\left(x \right)} \sin{\left(x \right)} \cos{\left(x \right)}\, dx = C + \frac{\sin^{3}{\left(x \right)}}{3}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1/3
$$\frac{1}{3}$$ 
=
= 
1/3
$$\frac{1}{3}$$ 
1/3
Numerical answer [src] 
0.333333333333333
0.333333333333333

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

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