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Solving integrals/ cos^3(-4x)sin(4x)

Integral of cos^3(-4x)sin(4x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1                       
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 |     3                  
 |  cos (-4*x)*sin(4*x) dx
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0
$$\int\limits_{0}^{1} \sin{\left(4 x \right)} \cos^{3}{\left(- 4 x \right)}\, dx$$ 
Integral(cos(-4*x)^3*sin(4*x), (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
        4   
1    cos (4)
-- - -------
16      16
$$\frac{1}{16} - \frac{\cos^{4}{\left(4 \right)}}{16}$$ 
=
= 
        4   
1    cos (4)
-- - -------
16      16
$$\frac{1}{16} - \frac{\cos^{4}{\left(4 \right)}}{16}$$ 
1/16 - cos(4)^4/16
Numerical answer [src] 
0.0510910907465456
0.0510910907465456

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

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