How do you find #int sec^2x/(tan^2x - 3tanx + 2) dx# using partial fractions?
1 Answer
Oct 29, 2015
Explanation:
Factor the denominator
Perform a u-substitution
Let
Make the substitution into the integral
Now we want to do partial fraction decomposition on this
Equating coefficients
Solving this system you get
Our integral becomes
Rewrite
Integrating we get
Using properties of logarithms this can be rewritten as