Let and be distinct non-zero real numbers

MATHEMATICS · Subjective · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let

a

and

b

be distinct non-zero real numbers. Evaluate the integral

I=\int \frac{2x-a-b}{(x-a)(x-b)}\,dx,

and simplify the result to a single logarithmic expression plus the constant of integration.