# Area between 3 Equations

1. Sep 25, 2014

### mshiddensecret

1. The problem statement, all variables and given/known data

Sketch the region enclosed by y=e^(5x), y=e^(9x), and x=1. Decide whether to integrate with respect to x or y. Then find the area of the region.

2. Relevant equations

3. The attempt at a solution

I tried graphing all the lines but they the e^(9x) line never seem to reach x=1 so they dont all intersect.

2. Sep 25, 2014

### HallsofIvy

Surely you know that e^(9*1)= e^9? That's a very large number (larger than 8000) but is still finite! The area of the region is $\int_0^1 (e^{9x}- e^{5x})d$.

3. Sep 25, 2014

### mshiddensecret

Thanks! I got it. Its 870.7489