Calculus

QUESTION 3 (a) Determine the following integrals, make a direct substitution and change of variable where necessary. (3) (3) (ini) 3 (3) x (3 Inx + 1) (iv) 3 sin x cos? adr (5) J2x (v) (4+ 22)2 da (5) (b) Let g (x) = 2 - 12 and h(x) =-1. Sketch the graph of g and h in the same axes and find the area of the region enclosed by the curves g (x) = 2 - x2 and h (x) = -z. (6) [25]