Im stuck at this integral :
(2-sinx)/(2+sinx)dx

Question

turingtest · Answer

have you tried multiplying top and bottom by $$2+\sin x$$??

anonymous · Answer

I splited it out like this : $$2/2+sinx - sinx/2+sinx$$

turingtest · Answer

wolfram would have us substitute $$u=\tan(x/2)$$but I wuold imagine there is a better way. http://www.wolframalpha.com/input/?i=integral%282-sin%28x%29%29%2F%282%2Bsin%28x%29%29 ugly answer though...

jamesj · Answer

The Wolfram suggestion is the usual approach.  The calculation is a bit painful, but this is a standard "hard integration" problem.

turingtest · Answer

Yeah, a trig substitution, two regular substitutions, and partial fractions. Ouch :/

anonymous · Answer

Would someone like me to write it all out or is the wolfram explanation good enough?

anonymous · Answer

Write it please ... !

jamesj · Answer

Look at the link TuringTest left you and click on "Show steps".  It's all there.

anonymous · Answer

WTF Ohh thank's ;D james