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

${e^{3\,\,\log x}}\,\, + \,\,c$

$\frac{1}{2}\,\,\log \,\,\left( {{x^4} + 1} \right)\,\, + \,\,c$

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 simplifying the integral and applying a u-substitution.