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What I Know (Pre-Test) Instruction: Choose the letter of the correct answer to the following items. Write them on a separate sheet of paper. 1. If y = f(g(x)) where y = ese'x, choose f(x) such that we can write y = flu).. A. X B. ese x C. estx D. x3 2. What should be assigned to "u" in the integral [ cos'x six dx A. - cosx B. cos x C. - sinx D. sinx 3. What should be assigned to "u" in the integral [ 2xvx2 + 1 dx A. 2x B. 2x2 C. x + 1 D. Vx- + 1 4. What is the new integral notation to evaluate / cos(2x + 1) or by u-substitution: A. [ cosu du B. J cosu .= du C. [ sinu du D. f sinu = du 5. What is the new integral notation to evaluate fell cos(x) dx by u-substitution: A. few cos udu B. [ sin" cosu di C. fe" sin u du D. Je" du 6. What should be assigned to "u" in the integral ( 5xsin(2x])dx? A. 2x2 B. sin (2x2) C. 5x D. no u needed 7. Evaluate the indefinite integral; fre * dx A. - zex+0 B. = xe- +C C. -xe- +C D (+1) 8. Find the antiderivative of; ) megye" B. -3(1-14) D. Timitc 9. Use integration by substitution to find Jess+2dx A. e5r + C B. pix+2 + c C. less+2 + C D. 1p5x+2 + C 10. Choose correct "u" for integration by substitution: [ 2xe* dx A. let u = x B. let u = x2 C. let u = exz D. let u= 2x 11. Find the antiderivative of; f32(13 + 4)5 dx A. (t] + 4)" + C B. t'(13+4)5 +C C. (13+4)5+0 D. !(13 + 4 ) + 0 12. Which of the following is the indefinite integral of ] sin2x x? A.-=cos 2x + C B. -sin x + C C. -2 cos2x +C D. cosax + C 13. Evaluate the indefinite integral; Jesit cost at A. paint + C B. esint C. grant + C D. cost + C 14. Solve the following by using substitution method: ] (, ) dx A. In(2 x2 + 6) + C B. In(2x3 + 6) C. 4xIn(2x2 + 6) + C D. 2xIn(2x" + 6) + C 15. Evaluate the indefinite integral; f sin x (cosx + 5) dx A. -: sin(cos x + 5)' +c C.(cosx + 5) +C B. =sin(cosx + 5)7 +c D. = (cos x + 5)" +CAssessment Instruction: Choose the letter of the correct answer to the following items. Write them on a separate sheet of paper. 1. Which of the following is the indefinite integral of x2 + 77 A. [(x' + 7)dx = 2x + C C. [(x2 + 7)dx =x3 + 7x+ c B. [(x2 + 7)dx = =x =1x +7x+c D. J (r? + 7)dx = =x] +7x + C 2. Which of the following is the indefinite integral of xi ? A. fri dy = exit c B. fridx = Bri + c C. fridx = xi+ CD. fxidr= =xi+ c 3. Which of the following is the indefinite integral of 2x3 + 4? A. J(2x] + 4 )dx = 6x2 + C C. f (2x3 + 4 )dx = 6x+ + 4r + C B. J(2r] + 4 )dir = =1*+ 4x +C D. J (2x' + 4)dx = x = 2x3 + 4x + C 4. Which of the following is the indefinite integral of f(3x? - 2x + 3)dx? Ar-x'+c B.xx tax+ c C. ;(3x2 -2x + 3)? =C D. none of these 5. Evaluate the indefinite integral; J(x2 + 2 sinx) dx A.- -2cosx +6 B. + 2cosx + 6 C. " -2cosx + C D. +2cosx +C 6. Evaluate the indefinite integral; [ 30x dx A. 5x5 +C B. 30x +C C. 5x* +C D. 30x* +C 7. Evaluate the indefinite integral; J(-x3 - 5x) dx A. 12x4 - 5x2+c B. Axt-2x2+c c. 1x3 -5x2+C Text - 5x2 +0 8. Evaluate the indefinite integral; J -2 sin x dx A. -2 cos x +C B. 2 cos x +C C. EOSX + C D. 01 + 0 2 9. Evaluate the indefinite integral; ] secx tan xdx A. -sec x +C B. see x +C C. tan x + C D. tan x +C 10. Evaluate the indefinite integral; fordx A. x - 2+C B. x +- +0 C. x2 - 4x +C D. x2 + 4x +6 1 1. Evaluate the indefinite integral; [(5x] + x] - 67 + 4)dx "+7- 3x- +4x +C B. +x+6+6 C. ~+x+6+0 D. S -x + 4r +C 12. Evaluate the indefinite integral; [(x* -x' + x) dx 13. Evaluate the indefinite integral; ((5ex - e) de A. 5ex -e+ C B. 5ex - ex + C C. ex -etc D. Sxe* - ex + C 14. Which of the following is the indefinite integral of is +irtl, 2r 7+ 2x + ; Injx| + C C. 6x2 + Bx + = In|x] + C B. 3x2 + 2x + = Inlx] + C D. 3x2 + 4r + = Inlx] + C 15. Evaluate the indefinite integral; f 7 cosx + 4edx A. -7 cos x +4e* + c C. -7sin *+4e* + C B. 7cos x +her + C D. 7sin x +42* + C 13Assessment Instruction: Choose the letter of the correct answer to the following items. Write them on a separate sheet of paper. 1. What should be assigned to "u" in the integral ( x3 I dx (1+x4)3 A. x3 B. x3 C. 1 + x4 D. (1 + x4) 3 2. What should be assigned to "u" in the integral J e 5x+2 dx A. 5x B. 2x2 C. 5x + 2 D. e5x+2 3. What is the new integral notation to evaluate J - 1 dx by u-substitution: (1+x4)3 A. J M . du 4 du C. ST . Id D. J . . = du u3 4. What is the new integral notation to evaluate fe5x+2dx by u-substitution: A. Jew . 5udu B. J sin" 2 udu C. few . = du D. Jew . = du 5. Use integration by substitution to find f sin(x2) 2xdx A. sin(x2) + C B. -sin(x2) + C C. cos(x2) + C D. -cos(x2) + C 6. Use integration by substitution to find f cos(x3) 3x2dx A. sin(x3) + C B. -sin(x3) + C C. cos(x3) + C D. -cos(x3) + C 7. Evaluate the indefinite integral; S (x34]) dx A. In(x3 + 1| + C B. In(x3 + 1| + C C. In|x3 + 1| + C D. (374+12) 8. Evaluate the indefinite integral; S(12(3x + 1)3)dx A. (3x + 1)4 + C B. 4(3x + 1)4 + C C. 3(3x + 1)4+ C D. 108(3x + 1)2 + C 9. Evaluate the indefinite integral; f 5sin*(x) cos(x) dx A. cos5 (x) sin(x) + C B. sin5(x) + C C. sin5(x) cos(x) + C D. sin5 (x) + C 10. Evaluate the indefinite integral; ) vx241 A. V x2 + 1 + C B. Vx + 1 + C C. +C Vxx2+ 1 D. 1 Vx+ It 1 1. Find the antiderivative of; J x2ex dx A. ex + C B. zex + C C. =x3ex3 + C D. x2ex* + C 12. What is the u equivalent of f 3x2 vx3 - 2 dx A. x3 - 2 B. 2x2 C. 2x2 + C D. 3x2 + C 13. Evaluate the indefinite integral; Sexv1 + ex dx A. er + C B. ()(et + 1)2 + C C. (e2x + e 30)2 + C D. ( 2 ) x2 + C 14. Choose correct "u" for integration by substitution: / (2x1, ) dx A. let u = 2x +1 B. let u = x2 C. let u = x2 + x - 2 D. let u = dx 15. Evaluate the indefinite integral; S (3 - x)10 dx A. ( (3 -x)11 + C C. (-16) (3 -x)11 + C B. ( (3-x) 11 + C D. (-14) ( 3 -x) 11 + C 8