- #1

Char. Limit

Gold Member

- 1,222

- 22

## Homework Statement

I want to prove the following statement:

[tex]\int_0^{ln(2)} \sqrt{e^{2t} + 4 e^{4t} + 9 e^{6t}} dt = \int_1^2 \sqrt{1 + 4 t^2 + 9 t^4} dt[/tex]

## Homework Equations

## The Attempt at a Solution

To be honest, I'm not sure how to do this. I tried a substitution [tex]t=e^t[/tex] for the second integral, but it didn't really go all that well. How do you do this, assuming that direct calculation is not allowed?