- #1
PolyFX
- 31
- 0
Homework Statement
[tex]
\int \sec^{2}(3x)e^{\tan(3x)}dx
[/tex]
Homework Equations
The method I am trying to use is integration by substitution(u substitution).
The Attempt at a Solution
I start out by making u = tan(3x)
So i end up having [tex]
\int \sec^{2}(3x)e^{u}dx
[/tex]
Stuck after here though. How do I simplify this further?
The final solution as per my professors solution sheet should be [tex]
1/3e^{tan(3x)} + C
[/tex]
However, I cannot seem to figure out why this is the solution.
-Thank you