Integration

Aug 2008
184
6
\(\displaystyle \int_{0}^{L}xSin^2\frac{n\pi x}{L} dx \)
Do I have to use only integration by parts to integrate this or are there any other methods as well?
 
Dec 2009
1,506
434
Russia
\(\displaystyle \int xsin^{2}xdx=\int \frac{1}{2}x(1-cos2x)dx\)

\(\displaystyle \int xcosxdx = \frac{xsin2x}{2}-\int sin2xdx\)