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puneet (3568)

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Olaaa!! Perrrfect answer. 620  bad job dude!! I dont approve of this answer! 2  [858 rates]

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Put cos 2x = 1 / t

So, dx = dt / ( 2t2 . sin 2x)

so, cos2x/sinx = dt / ( 2t2 . 2sin2x) * t * cosx
                        
                         = dt / 2 * t(t-1) t+1

 Now put t + 1 = p2   

 So,  cos2x/sinx  = 2* dp / (p2 - 1)*( p2 - 2 )

                            =
2* dp / ( p2 - 2 ) - 2* dp / ( p2 - 1 )

Now these integrals can be easily intergated and thus we are done by resubstituting the values  of p.

Cheers !!!!!!!!!!!!

Puneet Agrawal
IIT Delhi
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