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Discussion Response Post to: please take a look at this

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5 Jun 2008 21:57:17 IST

Subject: Re:please take a look at this

ankitagg (323)

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$\int\frac{dx}{(1-x)^3/2(1+x)^1/2}$

$\int\frac{dx}{(1-x)^1/2(1-x)^1/2(1-x)}$

$\int\frac{dx}{(1-x)(1-x^2)^1/2}$

mulltipl. and divide by (x+1)

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

$\int\frac{dx(1+x)}{(1-x^2)^3/2}$

$\int\frac{dx}{(1-x^2)^3/2}+\int\frac{xdx}{(1-x^2)^3/2}$

take (1-x^2) as t

differentiating we get

x dx=-dt/2

putting it in eq.

$\int \frac{dt}{2t^3/2} +1/2\int \frac{-dt}{t^3/2}$

and get integral at last by putting the value of t

this reply: 5 points (with 1 Olaaa!! Perrrfect answer.

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