Integral of sin^32x dx

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$$\int\limits_{0}^{1} \sin^{3}{\left(2 x \right)}\, dx$$

Integral(sin(2*x)^3, (x, 0, 1))

The graph

Plot the graph f(x)

The answer [src]

                3   
1   cos(2)   cos (2)
- - ------ + -------
3     2         6

$$\frac{\cos^{3}{\left(2 \right)}}{6} - \frac{\cos{\left(2 \right)}}{2} + \frac{1}{3}$$

                3   
1   cos(2)   cos (2)
- - ------ + -------
3     2         6

$$\frac{\cos^{3}{\left(2 \right)}}{6} - \frac{\cos{\left(2 \right)}}{2} + \frac{1}{3}$$

1/3 - cos(2)/2 + cos(2)^3/6

Numerical answer [src]

0.52939549231561

0.52939549231561

The graph

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