defence exam Coast Guard Navik GD (General Duty) 02/2025 Mock Test Series Mathematics Integral Calculus Indefinite Integrals
If \(\rm \int {\frac{{2x^{12} + 5x^9}}{{(x^5 + x^3 + 1)^3}}} \) dx = f(x) + C, then f(1) - f(0) =
1
\(\frac{1}{2}\)
2
\(\frac{1}{18}\)
3
\(\frac{1}{27}\)
4
\(\frac{1}{54}\)