Write in the form .

MATHEMATICS · Multi-part · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

1. Write

\frac{2x + 5}{x^2 - x - 2}

in the form

\frac{A}{x - 2} - \frac{B}{x + 1}

. (1) Write

\frac{2x + 5}{x^2 - x - 2}

in the form

\frac{A}{x - 2} - \frac{B}{x + 1}

. (2) Hence find the exact value of

\int_{3}^{9} \frac{2x + 5}{x^2 - x - 2} dx.