What is the area between 3 equations with e^(5x), e^(9x), and x=1?

[mshiddensecret]

Homework Statement

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.

Homework Equations

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 don't all intersect.

 

[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.

 

[mshiddensecret]

Thanks! I got it. Its 870.7489