Calculus 2

l. [1!] marks] Find the area of the region bounded between the curves y = 1' and y = E I2 by: a. {4 marks] Integrating with respect to x b. {Ii marks] Integrating with respect to y 2. [It] marks] Find the area of the region{s) enclosed by the curves 3.! = x2 and y = x3 21:. Give the exact value. 3. [12 marks] Use the indicated method to nd the volume of the solid generated when the region between the curves y = (x 1]2 and y = 1 is rotated around the indicated axis: a. {6 points) The x axis {use the method of discs and washers] b. {Ii points) The y axis (use the method of cylindrical shells) 4. [It] marks] Consider the region enclosed by the curves 3; = if? and y = I. Find the volume of the solid generated when the region is revolved about the line I = 2