Integral Calculus

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27 Jan 2012 14:21:03 IST
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integration
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Integral Calculus

integration of square root tanx



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Niladri Chakraborty's Avatar

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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's Avatar

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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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