$\smallint \,\,{x^{ - 2/3}}\,\,{\left( {1 + {x^{1/2}}} \right)^{ - 5/3}}\,\,dx$ is equal to

$3\,\,{\left( {1 + {x^{ - 1/2}}} \right)^{ - 1/3}} + C$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \,\,{x^{ - 2/3}}\,\,{\left( {1 + {x^{1/2}}} \right)^{ - 5/3}}\,\,dx

is equal to

View answer and explanation

Correct option: B

3\,\,{\left( {1 + {x^{ - 1/2}}} \right)^{ - 2/3}} + C

Option B (

3\,\,{\left( {1 + {x^{ - 1/2}}} \right)^{ - 2/3}} + C

) is correct because it is the result of the integration after suitable substitution and simplification.