Graph the region of integration and evaluate the double integral

(integral from 0 to 3) (integral from y to 3) e^(x^2) dxdy

- Jun 2nd 2010, 12:18 AMewkimchiGraph the region of integration and evaluate the double integral (integral from 0 to
Graph the region of integration and evaluate the double integral

(integral from 0 to 3) (integral from y to 3) e^(x^2) dxdy - Jun 2nd 2010, 02:25 AMHallsofIvy
Have you made any attempt at all on this? It's pretty straightforward.

Since the outer integral is with respect to y draw the horizontal lines y= 0 and y= 3. Those are the upper and lower bounds for y. Since the inner integral, with respect to x, has lower bound x= y and upper bound x= 3, draw the lines y= x and the vertical line x= 3. Those lines bound the region.

The integration should be simple. What do you get?