Determine the area of the region bounded by f(x)=7*e^(2x) and the -axis, between x=0 and x=2 .

what is The area of the region ??

area = ∫7 e^(2x) dx from 0 to 2

= (7/2) e^(2x) | from 0 to 2
= (7/2)e^4 - (7/2)e^0
= (7/2)(e^4 - 1)