integral by mkm()

\int \left(\frac{1-\sqrt{x}}{1+\sqrt{x}} \right)^{1/2}\frac{dx}{x}

just for practise

ans-->-2log\frac{1+\sqrt{1-x}}{\sqrt{x}}-2sin^{-1}\sqrt{x}+c

3 Answers

1
" ____________ ·

PUT √x = t

i think this one is for prctice !1

29
govind ·

Another way..put x = sin2θ ..then rationalise it..in the end the integration reduces to 2∫(cosecθ - 1) dθ ..which can be easily integrated...

341
Hari Shankar ·

or x = cos22θ

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