Mathematics 9709 · AS & A Level · Integration

Integration — practice question

Define $f(x)$ by $f(x) = \frac{3x^3 + 6x - 8}{x(x^2 + 2)}$.

(i)[5]

Express $f(x)$ as $A + \frac{B}{x} + \frac{Cx + D}{x^2 + 2}$.

(ii)[5]

Show that $\int_{1}^{2} f(x)\,dx = 3 - \ln 4$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or obtain $A=3$” …