For the integral sketch the region of integration and evaluate the integral.

Your sketch should be approximately the same as one of the graphs shown below; which is the correct region? Graph

Then

Note: the value of the integral needs to be correct to two decimal places.

Graphs:

1.Graph of a triangle with vertices (0,2), (2,0) and (2,2), with its interior shaded light blue.2.Graph of a triangle with vertices (0,0), (2,0) and (2,2), with its interior shaded light blue.3.Graph of a region bounded by an exponential curve extending from (0,1) to (2,exp(4), the vertical line x=0 (for y=1 to y=exp(4), and the horizontal line y=exp(4) (for x=0 to x=2).
4.Graph of a region bounded by an exponential curve extending from (0,1) to (2,exp(4), the vertical lines x=0 (for y=0 to y=1) and x=2 (for y=0 to y=exp(4)), and the horizontal line y=0 (for x=0 to x=2).5.Graph of a triangle with vertices (0,0), (2,2) and (0,2), with its interior shaded light blue.6.Graph of a triangle with vertices (0,0), (0,2) and (2,0), with its interior shaded light blue.

You can earn partial credit on this problem.