Tutorial Exercise Sketch the region of integration. Then evaluate the iterated integral. (Note that it is necessary to switch the order of integration.) XV xp . y3 dy Step 1 The given iterated integral is IT×V1+ y3 dy dx. Note that the inner limits of integration are sy< 3. Defining the region of integration as region R, then the lower and upper bounds of R are the lines y = and y = 3. Similarly, note that the outer limits of integration are 0 < x< 3, and therefore the left and right bounds of R are the lines x = 0 (or the y-axis) and x =