Please help me figure out how the question equals the answers on 1 and 2 please

1 . Find the following: (25 points; provide exact answers) Answer : a. The arc length of y = =x3/2 over the interval [0, 3]. 13 b The area of the surface of revolution generated by revolving the curve y = - over the x2 interval [0, 1] about the y-axis (only). Answer: 3 ( 252 - 1 ) 2 . Using integration by parts, determine only u, du, du & v: (20 points) a. ( xex dx u = X du = esx dyb . [x2 Inxax u= lux du = 3 X du - dx V = 'se V = = 3 x 3 du = yzd For #3 & 4, a properly graphed region with a sample rectangle is required for each part. 3. Use the washer & shell methods to find the volume generated by revolving the region bounded by y = x2, y = 0, x = 3: (Set up the integrals only, 40 points) DISK/WASHERS SHELLS a. About the 9 243 71 2 75 x-axis 5 x dx 4 ( 3 OR ( X 2 1 2