Solve Definite Integral: l & n Constants

[grommet]

I'd like to analyze the integral in the attachment but I'm clueless on how to do it. I'd like to get the result and understand the method behind it. l and n are constants. Can anyone help?

 

[Gib Z]

Well, finding the antiderivative might be easier if you note that since l and n are constants, so are 2/3*l^2 and the exponent, and just replace them with letters like a and b. I am sure you can integrate (ax+b)^c by expansion !

EDIT: O here's the integral for those who don't want to open the file;

I = \int^{h/2}_{-h/2} \left( \frac{4x^2}{3} + \frac{2l^2}{3} \right)^{\frac{1+n}{2n}}