(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

∫dθ/(1+βcosθ)^2 ; -1<β<1

θ=0 to 2pi

2. Relevant equations

3. The attempt at a solution

attempt solution:

1) make substitution:

dθ=dz/iz

Z=e^iθ

cosθ=1/2(Z+1/z)

2) substitute:

1/i*dz/(β+Z(1+(β^2)/2)+((3βZ^2)/2)+((β^2)Z^3)/4)+((β^2))/4Z)

3) Next ?

3a)Find the poles ?

We dont know how....

3b)Compute the residues

3c)Calculate integral

:)

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# Homework Help: Integrals of trigonometric functions over [o,2pi]

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