(is my answer correct?)Integration - Graphical Question

[qwert]

Question:
Find, in terms of a , the area of the region A, bounded by the curve y=e^x, the axes and the lines x=a, where a>0. Given that the area of the region is 3.5 square units, find the value of a.

My working:

Given area=3.5 units^2,

Is my answer correct? Thank you very much guys!

 

[HallsofIvy]

Yes, that is correct. You seem to know exactly what you are doing so I am surprised you asked.

 

[qwert]

Thanks HallsofIvy! Haha just needed some confirmation . Thanks!