$\smallint {e^{3\log x}}\,\,{\left( {{x^4} + 1} \right)^{ - 1}}\;dx$ equals

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int {e^{3\log x}}\,\,{\left( {{x^4} + 1} \right)^{ - 1}}\;dx

equals

View answer and explanation

Correct option: B

\frac{1}{4}\,\,\log \,\,\left( {{x^4} + \,\,1} \right) + c

Option B (

\frac{1}{4}\,\,\log \,\,\left( {{{{x^4}} + \,\,1}} \right) + c

) is correct because it is the result of integrating the given expression after simplification and substitution.

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