CPM Homework Help : CALC Problem 7-184

Demonstrate that $\frac { x + 11 } { x ^ { 2 } - 3 x - 4 } = \frac { 3 } { x - 4 } - \frac { 2 } { x + 1 }$ . Then, use this fact to find $\int \frac { x + 11 } { x ^ { 2 } - 3 x - 4 } d x$ .

Hint 1:

Manipulate the right side of the equation by finding a common denominator and subtracting.

Hint 2:

Before integrating, rewrite the integrand as a subtraction problem.