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Vishal U. Karve (205)

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put cot x=t2.

-cosec2x dx = 2 t dt

-(1+t4)=2t dt

The integral becomes

Write -2t2 as (1-t2) - (1+t2)

You get 2 integrals.

Divide by t2 in both numerator and denominator. The 2 integrals become

(Ignore the box in the second integral)

Now in the first integral put t + 1/t  =u.

In second integral put  t - 1/t = v.

Hope you can do the rest..


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