9709 P32 - Mar 2024 - Q10 - 10 marks
10027
\(f(x)=36a^2/[(2a+x)(2a-x)(5a-2x)]\), a>0.
(a) Express f in partial fractions. [5]
(b) Find \(\int_{-a}^af(x)\,dx\) exactly as p ln q+r ln s, with integers p,r and primes q,s. [5]
