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cos^5x*sin^3x
Solving integrals/ cos^5x*sin^3x

Integral of cos^5x*sin^3x dx

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The solution

You have entered [src] 
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∫01sin⁡3(x)cos⁡5(x) dx\int\limits_{0}^{1} \sin^{3}{\left(x \right)} \cos^{5}{\left(x \right)}\, dx 
Integral(cos(x)^5*sin(x)^3, (x, 0, 1))
The graph
0.001.000.100.200.300.400.500.600.700.800.900.1-0.1
Plot the graph f(x)
The answer [src] 
        6         8   
1    cos (1)   cos (1)
-- - ------- + -------
24      6         8
3 sin⁡81−8 sin⁡61+6 sin⁡4124{{3\,\sin ^81-8\,\sin ^61+6\,\sin ^41}\over{24}} 
=
= 
        6         8   
1    cos (1)   cos (1)
-- - ------- + -------
24      6         8
−cos⁡6(1)6+cos⁡8(1)8+124- \frac{\cos^{6}{\left(1 \right)}}{6} + \frac{\cos^{8}{\left(1 \right)}}{8} + \frac{1}{24}
Simplify
Numerical answer [src] 
0.0384281112869579
0.0384281112869579
The graph
Integral of cos^5x*sin^3x dx

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

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