- #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