- #1
genu
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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...