JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The integral

\int \frac{x d x}{2-x^2+\sqrt{2-x^2}}

equals :

View answer and explanation

Correct option: B

-\log \left|1+\sqrt{2-x^2}\right|+c

Option B (

-\log \left|1+\sqrt{{2-x^2}}\right|+c

) is correct because the integral can be solved by substituting

t = \sqrt{{2-x^2}}

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