Mathematics 9709 · AS & A Level · Integration

Integration — practice question

Suppose $f(x) = \frac{6 + 6x}{(2 - x)(2 + x^2)}$.

(a(i))[4]

Rewrite $f(x)$ in the form $\frac{A}{2 - x} + \frac{Bx + C}{2 + x^2}$.

(a(ii))[5]

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

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply a valid method to find one constant” …