How do you find #int (5x+11)/(x^2+2x-35) dx# using partial fractions?
Do a partial fraction decomposition on
Begin by factoring the denominator to simplify the integral to:
Because the denominator contains only linear factors, our partial fraction decomposition will be of the form:
We can now set up the decomposition:
Equating the numerators and simplifying:
Our decomposition is therefore:
Putting this back into the integral and evaluating: