Sketch the region bounded by the given lines and curves. Then express the region's area as an iterated double integral and evaluate the integral. The curve y = e" and the lines y = 0, x= 0, and x = In 14 Sketch the region. Choose the correct graph below. O A. OB. OC. OD. 16- AY 16- 16- X 16 -16 16 16 16 -16- Express the shaded area as an iterated integral. Select the correct choice below and fill in the answer boxes to complete your choice. In 14 OA. A= [ [ dy dx + J [ dy dx OB. A= | dy dx The value of the integral is . (Simplify your answer. Type an integer or a fraction.)