defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Integral Calculus Indefinite Integrals
What is \(\rm \int \frac{dx}{x\left ( x^{3}-1 \right )}\) equal to ?
1
\(\rm \log\left | \frac{x^{3}-1}{x^{3}} \right | + C\)
2
\(\rm \frac{1}{3}log\left | \frac{x^{3}-1}{x^{3}} \right | + C\)
3
\(\rm \frac{1}{3}log\left | \frac{x^{3}+1}{x^{3}} \right | + C\)
4
\(\rm \frac{1}{3}log\left | \frac{x^{3}-1}{x^{3} + 1} \right | + C\)