- #1
sashab
- 12
- 0
Homework Statement
Evaluate ∫((secx)^2)/[((tanx)^2)+(3tanx)+2]
Homework Equations
Partial fraction decomposition
The Attempt at a Solution
So here's what I did:
But this is incorrect. It says the correct answer is -2lnabs([itex]\frac{1}{2tanx+3}[/itex]+[itex]\sqrt{4(tanx+3/2)^{2}-1}[/itex]), which was achieved by making the same u-substitution, completing the square, and then doing a trig substitution. I'm not sure why my method is incorrect. Any help would be great, thanks!