53 Select the correct answer. Which is the correct solution for the integral | tan x ox ? O A. xtandx --In(x3)+0 OB. xtan 1x - In(1+x3)+0 OC. xtan1x- -Im(1+x3 )+0 OD. xtanx -In(x3)+054 Select the correct answer. Which is the correct solution for the integral x sin x dx ? O A. - xcos* x - sinx + 2 cosx+0 O B. _ x2 cosx + 2x sinx+ 2cosx+0 OC x'cosx+ sinx+0 OD. x/ cos x + 2secx+C55 Select the correct answer. Evaluate: | sin* x cos* x dx O A. cos* x cos' +0 4 OB. COS* X COS X + +0 3 5 O C. cost x COS" X +0 8 O D. C053 x COS* X +0 5 356 Select the correct answer. When evaluating tan x sec* x ox , what should you substitute for u? OA. sec xtan x OB. tan X OC. secx O D. seczx57 Select the correct answer. Express tan @ in terms of x for this triangle. /52 X O A. X X 152 - X OB. X 52- x4 OC. X 52-X2 OD. X 4152 - X258 Select the correct answer. Which of the following is the right trigonometric substitution in order to evaluate | /121-xox? OA. X = 11sine OB. x = 11sine OC. X = 121sine OD. X = 21cos059 Select the correct answer. 16 Evaluate the integral OX . X - 4 O A. 0.793 O B. 1.236 OC. 1.793 O D. 3.02260 Select the correct answer. Evaluate the integral dix x +5x +6 OA. x+ 4In|2 - x| - 9In |3 - x] + C OB. x- 4In|x + 2| + 9ln|x+3| + C OC. x+ 4| x + 2| - 9ln|x + 3| + C OD. x+ 4In|x - 21 - 9ln|x - 3| + C61 Select the correct answer. 3 Using the table of integrals, solve 3 ((3x)2+42 OA 3x + 0 419x2 +4 OB. 3x +0 4 19x2 +4 OC. 3x + 0 413x2+4 OD. 3x +0 413x-+462 Select the correct answer. Which integral resembles 3| 2(3*+) (x? O A. Judy = uv - | vou O B. Ju"du = +on7-1 n+1 OC. [edu=e" +0 OD. [a" du = . a +0 In a63 Identify the most appropriate method of integration that should be used to solve the integral |3xe*ox . O A. Integration by parts O B. Partial Fraction Decomposition O C. Basic Substitution O D. Trigonometric Substitution64 Select the correct answer. Evaluate the Integral X- - X ox using the appropriate strategy of integration. X +1 OA. Nol - [-5x+4In] x+10)+0 OB. (-4x + x2 + In/ x+1/)+0 O C. - 8x + 2x2 + 810| x +1/+0 OD. x2 - 2x + 210| x + 1/+065 Select the correct answer. The velocity function of a person driving in a carfrom home to the office can be given by pm: 94? . The person takes 2 hours to reach office. Estimate the distance between the person's home and ofce. Use Simpson's Rule and take :3 = 4. O A. 5.213 O H. 5.419 O c. 5.353 O o. 5.3?9