Integration problem

1. Nov 30, 2013

Dumbledore211

1. The problem statement, all variables and given/known data

∫dx/a^2sin^2x+b^2cos^2x

2. Relevant equations

3. The attempt at a solution
Okay, I attempted to solve this integral analytically but I couldn't. I tried to solve this by using trig identities like (1+cos2x)/2 and (1-cos2x)/2 but it got even more complicated. Can any of you drop a hint as to how it should be done

2. Nov 30, 2013

vela

Staff Emeritus
3. Dec 1, 2013

Dumbledore211

The whole denominator thing seems very complex for me to solve. How can I convert the denominator into a solvable numerator considering that the cos^2x is linked with b^2. Even if I take the U substitution route by considering u=tanx how do i deal with b^2cos^2x. How about I use the trig identity tan(x/2)/1+tan^2x/2=sinx and cosx= 1-tan^x/2/1+tan^x/2 then consider u=tanx/2 then we have it's derivative 1(1+tan^2x/2)/2=sec^2x/2/2

4. Dec 1, 2013

LCKurtz

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