Integral by t = tan θ/2 Substitution

Ferreira

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Jul 3, 2017
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I'm in trouble to solve the following integral.

Integrate dx/(3sinx - 4cosx)

Could you help me on the question?
 
Sorry, but I'm extremely confused right now. The title of your post says "Integral by t = tan θ/2 Substitution" but in your actual post there's no thetas to be found. Did you perhaps mean to type tan(x/2) in the title? Or use theta in the problem instead? Or something else altogether? When you reply back, please include a clarification on this issue, and also please comply with the Read Before Postinghttps://www.freemathhelp.com/forum/threads/41538-Read-Before-Posting!! thread that's stickied at the top of each sub-forum, and include any and all work you've done on this problem, even the parts you know for sure are wrong. Particularly, please include any attempts you've made to manipulate the integral so that you can use the hinted at substitution. Thank you.
 
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