$\smallint \,\,\frac{{1\,\, + \,\,x}}{{1\,\, + \,\,\sqrt[3]{x}}}\,\,dx$ is equal to

$\frac{3}{5}\,\,{x^{5/3}}\,\, - \,\,\frac{3}{4}\,\,{x^{4/3}}\,\, + \,\,C$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \,\,\frac{{1\,\, + \,\,x}}{{1\,\, + \,\,\sqrt[3]{x}}}\,\,dx

is equal to

View answer and explanation

Correct option: A

\frac{3}{5}\,\,{x^{5/3}}\,\, - \,\,\frac{3}{4}{x^{4/3}}\,\, + \,\,x\,\, + \,\,C

Option A (

\frac{3}{5}\cdot{x^{5/3}}\\ - \frac{3}{4}{x^{4/3}}\\ + \\ x\\ + \\ C

) is correct because after integrating the simplified expression, we obtain this result.