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cos^3(2x)sin^3(2x)

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  • Integral of d{x}:
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  • Integral of 1/x(x+1) Integral of 1/x(x+1)
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  • Integral of dx/x² Integral of dx/x²

  • Identical expressions

  • cos^ three (2x)sin^ three (2x)
  • co sinus of e of cubed (2x) sinus of cubed (2x)
  • co sinus of e of to the power of three (2x) sinus of to the power of three (2x)
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  • cos³(2x)sin³(2x)
  • cos to the power of 3(2x)sin to the power of 3(2x)
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  • cos^3(2x)sin^3(2x)dx
Solving integrals/ cos^3(2x)sin^3(2x)

Integral of cos^3(2x)sin^3(2x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                       
  /                       
 |                        
 |     3         3        
 |  cos (2*x)*sin (2*x) dx
 |                        
/                         
0
$$\int\limits_{0}^{1} \sin^{3}{\left(2 x \right)} \cos^{3}{\left(2 x \right)}\, dx$$ 
Integral(cos(2*x)^3*sin(2*x)^3, (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
     6         4   
  sin (2)   sin (2)
- ------- + -------
     12        8
$$-{{2\,\sin ^62-3\,\sin ^42}\over{24}}$$ 
=
= 
     6         4   
  sin (2)   sin (2)
- ------- + -------
     12        8
$$- \frac{\sin^{6}{\left(2 \right)}}{12} + \frac{\sin^{4}{\left(2 \right)}}{8}$$
Simplify
Numerical answer [src] 
0.0383506420481901
0.0383506420481901
The graph
Integral of cos^3(2x)sin^3(2x) dx

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

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