Determine the following integrals 3.1 1 + 1 13 (4) 3.2 3 2 65 (2) 3.3 2

4 sin2 3 (4) 3.5 (4) QUESTION 4 [13] 4.1 Determine the root mean square of the function = from x = 0 to = 2. (4) 4.2 Calculate the area of the region bounded by = 2 , and the axis (4) 1 2 3 x y y = xe x2 4.3 Determine the volume of the solid obtained by rotating the region enclosed by = 3 and = 4 about the axis. (5) 2 4 6 8 1 2 x y y = 3 x y x 4 = 1 QUESTION 5 [14] 5.1 Find the first three terms of the Maclaurin series expansion of () = 2 2 . (