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

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

is equal to

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 evaluating the indefinite integral by simplifying the expression and using a simple substitution.

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