Question

$\int \frac{e^{x \sqrt{2}}\left(1-x^2\right)}{(1-x \sqrt{2}) \sqrt{1-2 x^2}} d x$ is equal to

Accepted Answer

$\frac{1}{2 \sqrt{2}} e^{x \sqrt{2}} \sqrt{\frac{1+x \sqrt{2}}{1-x \sqrt{2}}}+c$

Answer

$\frac{1}{2 \sqrt{2}} e^{x \sqrt{2}}\left(\frac{1+x \sqrt{2}}{1-x \sqrt{2}}\right)+c$

Answer

$\frac{1}{2 \sqrt{2}} e^{x \sqrt{2}}\left(\frac{1-x \sqrt{2}}{1+x \sqrt{2}}\right)+c$

Answer

$\frac{1}{2 \sqrt{2}} e^{x \sqrt{2}} \sqrt{\frac{1-x \sqrt{2}}{1+x \sqrt{2}}}+c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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