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sin^5xcos^5x
Solving integrals/ sin^5xcos^5x

Integral of sin^5xcos^5x dx

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The solution

You have entered [src] 
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∫01sin⁡5(x)cos⁡5(x) dx\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
0.001.000.100.200.300.400.500.600.700.800.900.000.05
Plot the graph f(x)
The answer [src] 
     8         6         10   
  sin (1)   sin (1)   sin  (1)
- ------- + ------- + --------
     4         6         10
−sin⁡8(1)4+sin⁡10(1)10+sin⁡6(1)6- \frac{\sin^{8}{\left(1 \right)}}{4} + \frac{\sin^{10}{\left(1 \right)}}{10} + \frac{\sin^{6}{\left(1 \right)}}{6} 
=
= 
     8         6         10   
  sin (1)   sin (1)   sin  (1)
- ------- + ------- + --------
     4         6         10
−sin⁡8(1)4+sin⁡10(1)10+sin⁡6(1)6- \frac{\sin^{8}{\left(1 \right)}}{4} + \frac{\sin^{10}{\left(1 \right)}}{10} + \frac{\sin^{6}{\left(1 \right)}}{6} 
-sin(1)^8/4 + sin(1)^6/6 + sin(1)^10/10
Numerical answer [src] 
0.0141239256012734
0.0141239256012734
The graph
Integral of sin^5xcos^5x dx

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

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