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I. Evaluate the following integrals: 1 . ( 2x 3 - 3 ) * ( 6 x 2 ) dx 6. (2x + 6)5 dx
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Evaluate the following integrals: 1 . ( 2x 3 - 3 ) * ( 6 x 2 ) dx 6. (2x + 6)5 dx X 2. sin(3x + 2) dx 7 . dx Vx2 + 1 3. xe*2 dx 8. (2x + 5) (x2 + 5x)'dx 4. e5x+2 dx 9. 4 cos (3x)dx sin (Inx) 5. dx 10. sin23x cos 3x dx XWhat 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. What is an antiderivative of a function? A. the opposite of a derivative C. the same as a derivative B. a second derivative D. it always represents velocity 2. What does C represent in an antiderivative? A. a variable B. an unknown C. a constant D. none of the above 3. Evaluate the indefinite integral; [(-20x3 - 6x 3)dx A. -5x4 + + C C. -2014 - B. -5x3+ 3 D. -20x4 4. Evaluate the indefinite integral; f sin x dx A. cosx + C B. tan x + C C. - cos x + C D. -tanx + c 5. Evaluate the indefinite integral; J vx dx A. : Vx/ + C B. Vx7 + C C. D. 2 6. Evaluate the indefinite integral; J +2(3t + 5)dt D. 9t2 + 10t + C 7. Evaluate the indefinite integral; [ 3e* dx A. Be* + C B. 3ex + C C. -3e* + C D. -3exc + C 8. Evaluate the indefinite integral; J (2sinx + 3cosx) dx A. 2 cosx + 3 sinx C C. 2 cos x - 3 sinx C B. -2 cos x + 3 sin x C D. -2 cosx - 3sinx C 9. Evaluate the indefinite integral; [(7 cost + 4e) dt A. -7 sint + 4e' + c C. 7 cost + 4et+ C B. -7 cost + 4et + C D. 7 sint + 4et + C 10. Evaluate the indefinite integral; ((3x 3-4x 3)dr. A. -+2+0 B. + +C C. 3- 2+0 D. -3_ 2+ C 1 1. Evaluate the indefinite integral; [( -e*) dx A. 4Inx -ex B. 4Inx +e* +c C. 4Inx-e*+C I D. 4 lnx+ex 12. Which of the following is the indefinite integral of f (=- 2) dx? A. 3mix| + = + C B. -310/x|+ +6 0.;x4+4x +C. D. =x+ + x +C 13. 16, Which of the following is the indefinite integral of ca's () A.tan x + C B. cot x + C C. cos x + C D. sinx + C 14. Evaluate the indefinite integral; J(x -2x + 2)dx. A. = + 2+ 2x + C B. -x2 + 2x + C C.-2x2 + 2 +C D.Step by Step Solution
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