Mathematics · 2013
JEE Main · 23 April 2013, Shift 1 · Q61
The integral ∫ (x d x)/(2-x^2+√(2-x^2)) equals:
The integral $\displaystyle \int \frac{x \mathrm{~d} x}{2-x^2+\sqrt{2-x^2}}$ equals :
Official answer
(2)
$\displaystyle -\log \left|1+\sqrt{2-x^2}\right|+\mathrm{C}$
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.