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Homework Help: Integration problem

  1. Nov 30, 2013 #1
    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. jcsd
  3. Nov 30, 2013 #2

    vela

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  4. Dec 1, 2013 #3
    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
     
  5. Dec 1, 2013 #4

    LCKurtz

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