The graph of f (x) = v1- is shown above Which of the following is equal to the area of the shaded region under the graph? of (1-) dx Question 3 The same graph and region are shown again here. The shaded region under the graph of f (x) = v1 - x? is estimated by a triangle. What is the triangle's area? [ Select ] 3.14/4 or 0.5 or 3/4 Is it an overestimate or an underestimate of the shaded region under the graph of f (a) = v/1 -? ? Underestimate or overestimate Question 4 To integrate fo V1 - x-da. which trigonometric substitution will be appropriate? O x = sind, dx = coso de O x = sece, da = sec @ tano de Or = tand, dir = sec- 0 de Question 5 Which Pythagorean Identity will we need when we use trig substitution to integrate fo v1 - alda? O 1 - sin' 0 = cos2 0 O 1 - tan 8 = sec' 6 O 1 - csc' # = cot? e Question 6 Trigonometric identity: cos' # = = (1 + cos 20) After some substitutions and applications of trigonometric identities, the integral that describes the shaded area shown above can be transformed into $ 13 (1 + cus 20) def Evaluate this integral. Step 1, antidifferentiate: - (0-[ Select ] V sin 20)1 /2 4 or 1/2 Step 2, evaluate at the interval endpoints: } [(7 - 0) - [ Select ] 1 0 or 1 or pi Step 3, simplify. The area of the shaded region under the graph f(x) = v1 - x2 is [ Select ] v. pi/4 or 1/2