(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex]

\int \sec^{2}(3x)e^{\tan(3x)}dx

[/tex]

2. Relevant equations

The method I am trying to use is integration by substitution(u substitution).

3. 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

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# Evaluating Indifinite Integral

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