(i)[5]
Write $f(x)$ in partial fractions.
(ii)[5]
Show that, after evaluation, $\int_2^6 f(x) \, dx = 8 - \ln\!\left(\frac{49}{3}\right)$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Define $f(x)$ by $f(x) = \frac{4x^2 - 7x - 1}{(x + 1)(2x - 3)}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or indicate the form $A+\frac{B}{x+1}+\frac{C}{2x-3}$.” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI