# Integral t = tan(x/2) substitution

 HW Helper P: 2,685 $$\int \frac{dx}{5 - 3\sin x + 4 cos x}$$ I know I have to use t = tan(x/2) substitution, and after i do that and symplify I get: $$\int \frac{dt}{2t^2 - 3t + 1}$$ I dont know where to go from here. If anyone can see where to go, please help. Also, if there is an easier way to do this, please tell me!! Thanks.
 HW Helper P: 2,685 Integral t = tan(x/2) substitution ok i got an answer. $$| \ln \frac{\tan(x/2) - 1}{2\tan(x/2) - 1)^2} + C$$ This seems reasonable. If anyone can find a mistake, please tell me. Thanks for the help.
 P: 167 Hmm, I think there is something wrong with your expression $$\int \frac{dt}{2t^2 - 3t + 1}$$ I tried doing the substitution myself and the expression in the denominator was a "perfect square". Maybe you can show us how you did the substitution, or you can try checking your work again...