- #1

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## Homework Statement

Use an appropriate substitution and then a trigonometric substitution to evaluate the integral:

[tex]\int_-^{ln(4)} \frac{e^{t}dt}{\sqrt{e^{2t}+9}}[/tex]

## Homework Equations

Seems to be close to the [tex]t=atan(\theta)[/tex] model

[tex]\int \frac{e^{t}}{\sqrt{a^{2}+x^{2}}}dt[/tex]

## The Attempt at a Solution

I've rewritten it to reflect the relevant model:

[tex]\int \frac{e^{t}}{\sqrt{3^{2}+(??)}}dt[/tex]

Not sure how to rewrite the e in my attempt...