This problem is taken from Stewart, A58, no.46.

This is under the section: Integration of Rational Fuctions by Partial Fractions.

Iffis a quadratic function such thatf(0) = 1, and

$\displaystyle \int$f(x).dx/[x^2.(x+1)^3]

is a rational function, find the value of f'(0).

Sorry, but I am having trouble putting it into latex.Any help is much appreciated.