added after the assignment is submitted. Give complete details for full marks. . TT / 2 1. [3 points] Evaluate the integral sin (2x) sin (3x) sin(4x) dx. lo 2. [4 points] Evaluate lim Vx e VI dx o 4x 3. Let f(x) = 8 _ 12 (a) [1 points] Find the largest interval on which f is increasing (b) [4 points] Where is the graph of f is concave up? (c) [1 points] Are there any points of inflection? If so, find them and give reasons