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3. (a) P - 3e + 2x 32

3. (a) P - 3e + 2x 32

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.3: Partial Fractions
Problem 4E
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Solve 3 and 7 only by partial using fraction
SECTION 7.4 Integration of Rational Function 7.4 EXERCISES 1-6 Write out the form of the partial fraction decomposition of the function (as in Example 7). Do not determine the numerical values of the coefficients. 31. Í„ ds + 2x * + 4x² + 3 ° S + 7x² + x + 2 dt 1. (a) 4- 33. : (b) (1+ 2x)(3 - a) *-6 2. (a) 35. *** (b) +++6 3. (a) x - 3x + 7 - 4x + 6) (b) x- 3 + 2x 37. x – 2x' + x' + 2x - 1 7- 2x + 1 4. (a) (b) 39-52 Make a substitution to exp 5. (a) (b) function and then evaluate the inte (x² – x + IXx² + 2)° dr 39. 6. (a) (b) (x- x)(x* + 2x² + I) dx 41. 7-38 Evaluate the integral. 7. 43. dx S +1 dx 10. (+ 4)(2y - I) dx Hint: Sub 9. 45. * (2x + DG - 1) VA - V 11. ( *- 4 dx 12. dx -Sr + 6 46. 13. dx 14. (x + al(x + b) dx 47. Í- xp+,PE + 15. "-4 +1 P + 4x² + x = 1 dx 16. dx sec'r Ir + ? 49. dt tan'r + 3 tan r +2 17. ('- 7y - 12 vtv + 2Ky - 3) 18. A+ 6x +2 +te + 2" 51. dx (x+ 1)'u + 2) (3 - S) IMx - 19. 20. 53-54 Use integration by parts, to this section, to evaluate the integra x* + 9x² + x+ 2 22. 21. de 53. f inta" - x + 2) da x² - x + 6 dx 10 23. (- )x + 9) 24. + 3x B 55. Use a graph of fla) - 1/L Cruo dx is positive or negati rough estimate of the value of fractions to find the exact valu 25. dx +x'+x+1 26. xp- '+4 + 3 '+ 6x – 2 56. Evaluate 27. 28. *+ S+4 d x+4 + 2x +5 ' – 2x² + 2x – 5 + 4 +3 29. by considering several cases f asCinpL t e o C dc II
Transcribed Image Text:SECTION 7.4 Integration of Rational Function 7.4 EXERCISES 1-6 Write out the form of the partial fraction decomposition of the function (as in Example 7). Do not determine the numerical values of the coefficients. 31. Í„ ds + 2x * + 4x² + 3 ° S + 7x² + x + 2 dt 1. (a) 4- 33. : (b) (1+ 2x)(3 - a) *-6 2. (a) 35. *** (b) +++6 3. (a) x - 3x + 7 - 4x + 6) (b) x- 3 + 2x 37. x – 2x' + x' + 2x - 1 7- 2x + 1 4. (a) (b) 39-52 Make a substitution to exp 5. (a) (b) function and then evaluate the inte (x² – x + IXx² + 2)° dr 39. 6. (a) (b) (x- x)(x* + 2x² + I) dx 41. 7-38 Evaluate the integral. 7. 43. dx S +1 dx 10. (+ 4)(2y - I) dx Hint: Sub 9. 45. * (2x + DG - 1) VA - V 11. ( *- 4 dx 12. dx -Sr + 6 46. 13. dx 14. (x + al(x + b) dx 47. Í- xp+,PE + 15. "-4 +1 P + 4x² + x = 1 dx 16. dx sec'r Ir + ? 49. dt tan'r + 3 tan r +2 17. ('- 7y - 12 vtv + 2Ky - 3) 18. A+ 6x +2 +te + 2" 51. dx (x+ 1)'u + 2) (3 - S) IMx - 19. 20. 53-54 Use integration by parts, to this section, to evaluate the integra x* + 9x² + x+ 2 22. 21. de 53. f inta" - x + 2) da x² - x + 6 dx 10 23. (- )x + 9) 24. + 3x B 55. Use a graph of fla) - 1/L Cruo dx is positive or negati rough estimate of the value of fractions to find the exact valu 25. dx +x'+x+1 26. xp- '+4 + 3 '+ 6x – 2 56. Evaluate 27. 28. *+ S+4 d x+4 + 2x +5 ' – 2x² + 2x – 5 + 4 +3 29. by considering several cases f asCinpL t e o C dc II
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