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Integral Calculus

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30 Dec 2011 10:46:51 IST

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integral

Mathematics

what is the integral of;root of cotx

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Vishal U. Karve

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Joined: 18 Jan 2012

Posts: 147

20 Jan 2012 19:01:36 IST

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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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