Constant integration function |NDEFINITEINTEGTIONJEEMain2019

JEE MAIN 2019

08-04-2019 S2

Question

If $\int \frac{d x}{x^3\left(1+x^6\right)^{2 / 3}}=x f(x)\left(1+x^6\right)^{\frac{1}{3}}+C$ where $C$ is a constant of integration, then the function $f(x)$ is equal to :

Select the correct option:

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

$\frac{3}{x^2}$

$-\frac{1}{6 x^3}$

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

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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