Question

What is the area under the curve f (x) e ^ 2x between x1 = 0 to x2 = 2.​

Answer 1

26.75 unit^2 to the nearest hundredth.

Explanation:

Integrating between the 2 limits:

2 2

Area = ∫ e^2x dx = [ 1/2 e^2x ]

0 0

= 1/2( e^4 - e^0]

= 1/2(54.598 - 1)

= 26.749