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sin^3(2x)
Solving integrals/ sin^3(2x)

Integral of sin^3(2x) dx

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The solution

You have entered [src] 
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∫01sin⁡3(2x) dx\int\limits_{0}^{1} \sin^{3}{\left(2 x \right)}\, dx 
Integral(sin(2*x)^3, (x, 0, 1))
The graph
0.001.000.100.200.300.400.500.600.700.800.902-1
Plot the graph f(x)
The answer [src] 
                3   
1   cos(2)   cos (2)
- - ------ + -------
3     2         6
cos⁡3(2)6−cos⁡(2)2+13\frac{\cos^{3}{\left(2 \right)}}{6} - \frac{\cos{\left(2 \right)}}{2} + \frac{1}{3} 
=
= 
                3   
1   cos(2)   cos (2)
- - ------ + -------
3     2         6
cos⁡3(2)6−cos⁡(2)2+13\frac{\cos^{3}{\left(2 \right)}}{6} - \frac{\cos{\left(2 \right)}}{2} + \frac{1}{3} 
1/3 - cos(2)/2 + cos(2)^3/6
Numerical answer [src] 
0.52939549231561
0.52939549231561
The graph
Integral of sin^3(2x) dx

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

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