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I have a big test tomorrow, and there is one thing I can't seem to figure out:

In Sturm-Liouville problems, when the legendre polynomials is the solution to the equation, and the boundry-conditions is a function of some sort, I am trying to find the coefficients for expressing the boundry function in terms of a sum of legendre polynomials.

But how do I find the general coefficient for every order of the legendre polynomial? I mean, how do I integrate a general legendre polynomial multiplied by a function? My specific boundry function is x^2.

Thanx and please be quick :O