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Sin^5x*cos^5x
Solving integrals/ Sin^5x*cos^5x

Integral of Sin^5x*cos^5x dx

Limits of integration:

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The graph:

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The solution

You have entered [src] 
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 |     5       5      
 |  sin (x)*cos (x) dx
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$$\int\limits_{0}^{1} \sin^{5}{\left(x \right)} \cos^{5}{\left(x \right)}\, dx$$ 
Integral(sin(x)^5*cos(x)^5, (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
     8         6         10   
  sin (1)   sin (1)   sin  (1)
- ------- + ------- + --------
     4         6         10
$${{6\,\sin ^{10}1-15\,\sin ^81+10\,\sin ^61}\over{60}}$$ 
=
= 
     8         6         10   
  sin (1)   sin (1)   sin  (1)
- ------- + ------- + --------
     4         6         10
$$- \frac{\sin^{8}{\left(1 \right)}}{4} + \frac{\sin^{10}{\left(1 \right)}}{10} + \frac{\sin^{6}{\left(1 \right)}}{6}$$
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Numerical answer [src] 
0.0141239256012734
0.0141239256012734
The graph
Integral of Sin^5x*cos^5x dx

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

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