JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \sqrt{\frac{x^6}{a^8+x^8}} d x=

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Correct option: B

\frac{1}{4} \ln \left|x^4+\sqrt{a^8+x^8}\right|+c

Option B (

\frac{{1}}{{4}} \ln |x^4+\sqrt{{a^8+x^8}}|+c

) is correct because the integral is solved using substitution and the standard integral formula for

\int \frac{{dx}}{{\sqrt{{x^2+a^2}}}}

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