Question

Show that (a) #/2 e sin 2xdx = a (e+1), where the numbers a, b are to be determined. (b) Let R be the region bounded by the curve y =

1+231, 2 = 1, = 0 and y = 0. Find the volume when R is rotated 2 radians about the y-axis, Express your answer in terms of .

Fig: 1