Page K 2 of 5 Evaluate the integral using the Fundamental Theorem of Calculus. 3) S ( 3 x 2 + * + 3 ) dx 8) Find the derivative using the Fundamental Theorem of Calculus. sin t dt 9) Find the total area of the region between the curve and the x-axis. 10) y = x2(x - 2)2; 0sxs2 10) Find the area of the shaded region. 11) 11) (9, 3) X 2 (0, 0) 7 x (9 , - 3) Evaluate the integral using Substitution. 12 ) [ x2 ~x3 +3 dx 12) 13 ) - sint - dt 13) 8 + cos t)6 Solve the problem. 14) Given the acceleration, initial velocity, and initial position of a body moving along a 14) coordinate line at time t, find the body's position at time t. a =32 cos 4t, v(0) =-10, 5(0) = 12 Use the substitution formula to evaluate the integral. 15 ) [ * 9 - ~ x dx 15 VX (71 / 2 16) cot x csco x dx 16) 71 16 X Prtsen Home End F9 F10 FSAnswer Key Testname: MATH 60 EXAM 3 PRACTICE 1) - 1 41 1/2 2x2 2 2 ) - sin TOx - 36 cos 3 13) 23/2_67/6 - D + 0+ 0 UIS ( 5) 20 in. x 20 in. x 5 in.; 2000 in3 6) y 56- 52 - 48 - 44- 40- 36 + 32- 28 - 24 + 20 + 16- 8 - 7) 6+ 108n3 +162n2 +54n ; Area =24 6n3 8) -252 9) 3x2 sin (x3) 10) 16 15 11) 36 12) 2 (*3 +3) 3/2 + C 13 ) + C 5 ( 8 + cost ) 5 14) s = -2 cos 4t - 10t+ 14 15) 15 16) 3 17) 16 19) 2 + 40 2 20) 47( 4