- #1

Celadon

- 11

- 0

## Homework Statement

Find the indefinite integral (preferably using u-substitution):

∫(e

^{x}-e

^{-x})

^{2}dx

## Homework Equations

N/A

## The Attempt at a Solution

To be honest, I'm slightly confused as to which path I'm supposed to take with this, especially since I'm not sure what I should be using u to substitute here. This is one of my attempts at solving the question:

∫[(e

^{x}-e

^{-x})

^{2}dx]

= ∫[e

^{2x}dx] - ∫[e

^{-2x}dx]

= (e

^{2x}/ 2) + (1 / 2e

^{2x}) + C

Could someone please tell me if I have the right answer / I'm on the right track / I'm completely wrong? If the latter, I'd appreciate it if you could help get me on track!

Thanks in advance!