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sin^32x
Solving integrals/ sin^32x

Integral of sin^32x dx

Limits of integration:

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Piecewise:

The solution

You have entered [src] 
  1             
  /             
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 |     3        
 |  sin (2*x) dx
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0
$$\int\limits_{0}^{1} \sin^{3}{\left(2 x \right)}\, dx$$ 
Integral(sin(2*x)^3, (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
                3   
1   cos(2)   cos (2)
- - ------ + -------
3     2         6
$$\frac{\cos^{3}{\left(2 \right)}}{6} - \frac{\cos{\left(2 \right)}}{2} + \frac{1}{3}$$ 
=
= 
                3   
1   cos(2)   cos (2)
- - ------ + -------
3     2         6
$$\frac{\cos^{3}{\left(2 \right)}}{6} - \frac{\cos{\left(2 \right)}}{2} + \frac{1}{3}$$ 
1/3 - cos(2)/2 + cos(2)^3/6
Numerical answer [src] 
0.52939549231561
0.52939549231561
The graph
Integral of sin^32x dx

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

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