The value of $\smallint \,\,\frac{{dx}}{{{x^2}{{\left( {{x^4} + 1} \right)}^{3/4}}}}$ is

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The value of

\int \,\,\frac{{dx}}{{{x^2}{{\left( {{x^4} + 1} \right)}^{3/4}}}}

View answer and explanation

Correct option: A

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

Option A (

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

) is correct because the integral is solved using a substitution and simplification.

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