Question

Evaluate the definite integral. Enter exact values. 2 cos (2) dc V1 - 22 - =

Answer 1

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Ans let I- s' - 2 105'(x) da la x² Now let cos/²) = -6 > x= cos (4) 3

Now by del (105\/3)] -4,4) = dt da Jox (became en tot mom) - 1-bey = da= at ہوا ST-xd

so 2005(x) da 5l-x - 2 Cost(x) 2.fo lay ر- اکا -2 S + dt (using , ©) -2 + (as stat t 2 + m-4 t t = (ost(x)) So (Cost (x)) (but S-2 (ost (x) dx = dx = {(os" (x)} applying limit [los ri-x² L -2(65-1(x) dx = VT-x²

={cos" (137 - (cos" (-1}} (0)2- (O) 2 as os (os (1) = 0 COST(-1) = 1 F- sosten 2 Cos (0) rl-x teral -1