JEE Main 2019 — Math solution | Fundamenthol

JEE Main2019Math

Q.

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

A
$- \frac{1}{2 x ^{3}}$
B
$\frac{3}{x ^{2}}$
C
$- \frac{1}{6 x ^{3}}$
D
$- \frac{1}{2 x ^{2}}$

Solution

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