Calculate the exact value of the integral I = _ 1 ^ 3 ( 5 x-2 - 4 x+1 ) ,dx.

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

Problem

Calculate the exact value of the integral

I = \int_{1}^{3} \left(\frac{5}{x-2} - \frac{4}{x+1}\right)\,dx.