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sin^3x*cos^3x
Solving integrals/ sin^3x*cos^3x

Integral of sin^3x*cos^3x dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
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 |     3       3      
 |  sin (x)*cos (x) dx
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0
$$\int\limits_{0}^{1} \sin^{3}{\left(x \right)} \cos^{3}{\left(x \right)}\, dx$$ 
Integral(sin(x)^3*cos(x)^3, (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
     6         4   
  sin (1)   sin (1)
- ------- + -------
     6         4
$$- \frac{\sin^{6}{\left(1 \right)}}{6} + \frac{\sin^{4}{\left(1 \right)}}{4}$$ 
=
= 
     6         4   
  sin (1)   sin (1)
- ------- + -------
     6         4
$$- \frac{\sin^{6}{\left(1 \right)}}{6} + \frac{\sin^{4}{\left(1 \right)}}{4}$$ 
-sin(1)^6/6 + sin(1)^4/4
Numerical answer [src] 
0.0661744365394513
0.0661744365394513
The graph
Integral of sin^3x*cos^3x dx

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

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