JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

\int \frac{{dx}}{{\sqrt[4]{{{{\left( {x\,\, + \,\,1} \right)}^5}\,\,{{\left( {x\,\, + \,2} \right)}^3}}}}}

is equal to

View answer and explanation

Correct option: C

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

Option C (

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

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

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