# Difficult trignonometric Integral

1. Nov 28, 2007

### Mr.Brown

1. The problem statement, all variables and given/known data
I need to find $$\int_{0}^{\pi}(sin(x)^{2n})dx$$.

My idea was to write sine in the exponential definiton and use binomial theorem but i don´t really get anywhere :(

Any suggestions ?

2. Nov 28, 2007

### Office_Shredder

Staff Emeritus
If you integrate by parts, you get a recursive formula for $$\int (sin(x)^{2n})dx$$ in terms of something like $$sin(x)^{2n-1}$$ by differentiating sin to the power of 2n-1, and integrating a sin. My guess is that'll do the trick

3. Nov 28, 2007

### Mr.Brown

hmm yea found that but i need an absolute formula if there even is one ?

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Difficult trignonometric Integral Date
Double integration and bounds Monday at 3:55 PM
Difficult Vector Field Integral Feb 22, 2018
Difficult Integral Oct 10, 2016
Difficult Probability Density Function Question Sep 25, 2016
Difficult Separable Integration Problem Jul 20, 2016