- #1
klawlor419
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Homework Statement
Any ideas for how to solve the following integral?
$$\int_{0}^{\pi}\sin{n x}\sin{x}^3 dx$$
where n is a positive integer
Homework Equations
Various sine and cosine identities
The Attempt at a Solution
I haven't much of a clue how to solve the integral. Its an odd function times an odd function which gives an even function, over a symmetric range (at least symmetric for the Sine function or perhaps portions of the function's n-values).
I tried clearing out a sin^2 from the integral by using the double-angle formula. It didn't really break down into anything that lead to any obvious results for the integrals.
Thanks ahead of time.