JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

\int \frac{{dx}}{{{x^3}{{(1 + {x^6})}^{2/3}}}} = xf(x){(1 + {x^6})^{\frac{1}{3}}} + C

where,

C

is a constant of integration, then the function

f(x)

is equal to

View answer and explanation

Correct option: B

- \frac{1}{{2{x^3}}}

Option B (

- \frac{1}{{2{x^3}}}

) is correct because after performing the integration and comparing with the given form,

f(x)

is found to be

- \frac{1}{{2{x^3}}}

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