Determine the area under the curve

Question

y = e^x between x = (-)2 and x = 3.

Answer 1

Given curve y = e^x  and the ordinates x = -2 and x = 3

                  3

Area (A) = ∫ e^x dx

               -2

Apply integration

                3

A = e^x/1 ] 

              -2

            3

A = e^x ] 

            -2

Apply limits 

A =  e^3 - e^(-2)

A = 20.08 -  0.135

A = 19.950