$\smallint \,\frac{{\left( {1\,\, + \,\,{x^4}} \right)}}{{{{\left( {1\,\, - \,\,{x^4}} \right)}^{3/2}}}}\,\,\;dx$ is equal to

$\frac{{2x}}{{\sqrt {1\,\, - \,\,{x^4}} }}\,\, + \,\,c$

$\frac{{ - 2x}}{{\sqrt {1\,\, - \,\,{x^4}} }}\,\, + \,\,c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

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

is equal to

View answer and explanation

Correct option: A

\frac{x}{{\sqrt {1\,\, - \,\,{x^4}} }}\,\, + \,\,c

Option A (

\frac{x}{{\sqrt {1 - {x^4}} }} + c

) is correct because it is the result of integrating the given expression using substitution.