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Integral Calculus

Blazing goIITian

Joined:	4 Jul 2008
Post:	392

26 Mar 2009 05:52:43 IST

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Integrate

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

$\int \frac{1-x^2}{(1+x^2)\sqrt{1+x^4}}dx$

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rikesh bhattacharyya

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Joined: 25 Mar 2009

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26 Mar 2009 10:06:08 IST

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1.divide both the numerator and the denominator by x²

2.u wil get 1/x²-1as numerator and {( x+1/x)(x²+1/x²)} as denominator

3. the substitute x+1/x as t and proceed ,i am sure u will get the answer

4, ans wil be in terms of cosec^-1

rikesh bhattacharyya

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Joined: 25 Mar 2009

Posts: 4

26 Mar 2009 10:09:16 IST

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boss that would be {(x+1/x)(x²+1/x²)^1/2}as denominator

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