To evaluate the integral C. x-5 (x + 7)(x + 9) I we first apply the method of partial fractions to express the integrand as a sum of simple rational functions of x: x-5 = A. +B. (x+7)-(x+9) +D. dx which has antiderivative +E. We then equate like powers of x in the numerators (use * for multiplication): x-5 = + and solve for the unknown coefficients to obtain the partial fraction expansion