JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int\left(x^6+x^4+x^2\right) \sqrt{2 x^4+3 x^2+6} d x

is equal to

View answer and explanation

Correct option: C

\frac{\left(2 x^6+3 x^4+6 x^2\right)^{3 / 2}}{18}+C

Option C (

\frac{\left(2 x^6+3 x^4+6 x^2\right)^{3 / 2}}{18}+C

) is correct because it results from a u-substitution where the derivative of the expression inside the square root is present in the integrand.

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