MAC-2313 Lecture 79: Study Guide 79 (Evaluating Double Integrals)

Sketch the region bounded by the given equations. Express the region's area as an iterated double integral and evaluate the integral. y=ex,y=0, x:0, x=In 4 Choose the correct form of the integral. OB In4 e dy dx A= dx dy In4 ex C. In4 ex A= ○ D. dy dx A= dx dy In4 ex

Let R be the region enclosed by the graphs of y = e-y, y = ex, and x = in 4. Find, the area of R by setting up and evaluating a definite integral.

1. Sketch the region and find its area using double integral. The parabola x=y-y2 and the line y-x . (4/3) a. b. The curve y =ex, the line x = In 2, the x-axis and the y-axis.