In Exercises 31-34, evaluate the improper iterated integral. In Exercises 55-64, sketch the region R whose area is given by 31. y dy dx 32. 1 + vidy dx the iterated integral. Then switch the order of integration and show that both orders yield the same area. 33. 34. J. J. Aye (24x7) dx dy 55. J. J. dy dx 56. 57. dx dy 58