1PUT √x = t
i think this one is for prctice !1
\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
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3 Answers
29Another way..put x = sin2θ ..then rationalise it..in the end the integration reduces to 2∫(cosecθ - 1) dθ ..which can be easily integrated...
