Express $\frac{x^2 + 3x + 2}{x^2(2x + 1)}$ in partial fractions.[5] Hence integrate \(\frac{x^2 +

Question

Express $\frac{x^2 + 3x + 2}{x^2(2x + 1)}$ in partial fractions.[5] Hence integrate $\frac{x^2 + 3x + 2}{x^2(2x + 1)}$ with respect to $x$.[3]

Accepted Answer

(a)$-\frac{1}{x}+\frac{2}{x^2}+\frac{3}{2x+1}$ (b)$-\ln x-\frac{2}{x}+\frac{3}{2}\ln (2x+1)+c$

2025 DSS PRELIMS P1 Q4