TASK 2: ANTIDIFFERENTIATION (1) Integrate the following functions: (a) I = (24x3 + 8x3 -5x4 )di (b) 1 = (2 -+1025 )de (c) 1 = (10 cos(5x) - 2sin() ) dx (d) 1= (6e3 + 12e " )der (2) Find the original function f(x) given f'(a) = 12x3 + 9x2 - 10 and f(-1) = 7. (3) Find the original function f(x) given f'(x) = 8 cos(2x) -4 sin(4x) and f (*) = 1. (4) Find the original function f(x) given f'(x) = 5/x and f(e) = 1