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1. Doing the following integral

I haven't done basic integrals for awhile...but just wondering how you would integrate the following functions without looking it up in the integral table. (x^2+a^2)^(-3/2) where a is a constant. Thanks!
2. Finding the particular solution of DE

I have a nonhomogeneous DE and wants to find the particular solution for Asin(x)sin(t) Is there any tips in using method of undetermined coefficient to guess the particular solution of this?
3. Introduction to Fourier Integral

I have a homework question asking to construct an orthonormal system from the three functions: 1, x, 3x^2 - 1, I know we can approach it using linear algebra method, but as this is a calculus course, I don't think that's what my prof wants us to use. Can anyone guide me through this? Thanks a bunch!
4. Finding an orthonormal system

Hey, I've taken linear algebra a long ago, and now came across a simple-looking question that i need help with Construct an orthonormal system from the three functions: 1, x, 3x^2 - 1 Can anyone give me a pointer to solving this question? Thanks a bunch!:blushing:
5. Power series

Hi I"m having truoble with fnding the power series of the following::frown: 1+(x^3)/3+(x^6)/18+(x^9)/162+... Can anyone give me a hand? Also, any hints in finding a power series? Thanks !