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Integral Calculus

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27 Jan 2012 14:21:03 IST

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integration

Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Integral Calculus

integration of square root tanx

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Niladri Chakraborty

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27 Feb 2012 07:43:21 IST

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substitute tanx=z^2, then u will get dx=2zdz/(1+z^2).. then put tanx=z and the value of dx in the given integral.. i hope u can do after that urself. good luck!

Vishal U. Karve

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Joined: 18 Jan 2012

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1 Mar 2012 16:39:03 IST

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Niladri Chakraborty, you're wrong...

You should be sure before you post an answer...

Putting

We get

The question now becomes

Writing 2t² as (1+t²) - (1-t²), we get 2 integrals.

Divide numerator and denominator by t² in both the integrals to get the 2 integrals as

In first integral, put t - 1/t = u

In second integral, put t + 1/t = v

Integrate....hope you can do the rest.........

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