JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

The value of

I=\int \frac{d x}{2 x \sqrt{1-x} \sqrt{(2-x)+\sqrt{1-x}}}

=-\frac{1}{2}\left\{\log \left(z+\frac{3}{2}+\sqrt{z^2+3 z+3}\right)\right\}+\frac{1}{2}\left|\log s-\frac{1}{2}+\sqrt{s^2-s+1}\right|+C

and

s-z=\frac{k}{x}

, then value of

k

, is

View answer and explanation

Correct option: B

Option B is correct because after performing the integration and substituting back, the value of k in s-z = k/x is found to be 2.

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