University of MD University College Calculus II - Math 141 Quiz # 3 (100 pts) Dr. Ahmed Mohamed Summer 2017 07/07/2017 (Show all your work. This quiz covers material from week 3/Ch 7) 1. (28 pts) Find the derivative of the function. f ( x) 2 x arccos x 2 1 x 2 g ( x) arctan x 2. (34 pts) x 1 x2 Find the integral. sec 2 x dx 25 tan 2 x x 3 x 1 dx 2 3. (38 pts) Evaluate the integral. sin x 1 cos x dx 2 /2 1/ 2 0 arcsin x dx 1 x2 4. (10 pts) . Bonus. Find the equation of the tangent line to the graph of the function f ( x) arccos(x 1) at the given po int (1, 2 )