Homework Help is Here – Start Your Trial Now!
Math
Calculus
| (3x – 2x + 1) dx 5. |(x - 1)° dx 6. 7. (x² – x*) dx 8. cos x dx /2 I sec' x dx 9. dx 11. (4 – 2x') dk 12. | (2 cos x – 2 sin x) dx

| (3x – 2x + 1) dx 5. |(x - 1)° dx 6. 7. (x² – x*) dx 8. cos x dx /2 I sec' x dx 9. dx 11. (4 – 2x') dk 12. | (2 cos x – 2 sin x) dx

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 3E
See similar textbooks
icon
Related questions
Question

I need help with number 5 and 12.

Terms and Concepts 22. CSC X cot x dx Jn/6 1. How are definite and indefinite integrals related? 23. 1| 2. What constant of integration is most commonly used when evaluating definite integrals? 24. |1 – 2x| dx 3. T/F: If f is a continuous function, then F(x) = | f(t) dt is also a continuous function. 25. (u + 4)(2u + 1) du 4. The definite integral can be used to find "“the area under a curve." Give two other uses for definite integrals. 1+ Vx+ x dx 26. Problems sin? x + cos x dx 27. n/7 In Exercises 5-34, use the Fundamental Theorem of Calculus Part 2 to evaluate the definite integral. /4 2+ tan? 0 do 28. -7/4 /4 5. 3x² – 2x + 1) dx 29. sec t(sec t + tan t) dt */2 (х — 1)? dx sin 2x dx sin x 6. 30. 7/6 7. (x - 4+ 6u du 31. Vu */3 sin 0 + sin 0 tan? 0 sec? 8. COS x dx 32. de T/2 sec? x dx 2+t dt 9. 33. 10. dx 34. Vx5 + Vx dx 35. Explain why: 11. dx (a) x' dx = 0, when n is a positive, odd integer, and -1 12. (2 cos x – 2 sin x) dx (b) X' dx = 2 x" dx when n is a positive, even 13. e dx integer. In Exercises 36–39, find a value c guaranteed by the Mean 14. Value Theorem. 1 dt 36. x² dx 15. 37. x dx 16. Vx dx -2 38. e* dx 1 dx 17. 16 39. 18. 1 dx In Exercises 40–45, find the average value of the function on the given interval. 19. x dx 40. f(x) = sin x on [0, 7/2] 20. 100 dx 41. y = sin x on [0, ] 42. y = x on 0, 4] 43. y = x on [0, 4] -5 21. 3 dx 273
Transcribed Image Text:Terms and Concepts 22. CSC X cot x dx Jn/6 1. How are definite and indefinite integrals related? 23. 1| 2. What constant of integration is most commonly used when evaluating definite integrals? 24. |1 – 2x| dx 3. T/F: If f is a continuous function, then F(x) = | f(t) dt is also a continuous function. 25. (u + 4)(2u + 1) du 4. The definite integral can be used to find "“the area under a curve." Give two other uses for definite integrals. 1+ Vx+ x dx 26. Problems sin? x + cos x dx 27. n/7 In Exercises 5-34, use the Fundamental Theorem of Calculus Part 2 to evaluate the definite integral. /4 2+ tan? 0 do 28. -7/4 /4 5. 3x² – 2x + 1) dx 29. sec t(sec t + tan t) dt */2 (х — 1)? dx sin 2x dx sin x 6. 30. 7/6 7. (x - 4+ 6u du 31. Vu */3 sin 0 + sin 0 tan? 0 sec? 8. COS x dx 32. de T/2 sec? x dx 2+t dt 9. 33. 10. dx 34. Vx5 + Vx dx 35. Explain why: 11. dx (a) x' dx = 0, when n is a positive, odd integer, and -1 12. (2 cos x – 2 sin x) dx (b) X' dx = 2 x" dx when n is a positive, even 13. e dx integer. In Exercises 36–39, find a value c guaranteed by the Mean 14. Value Theorem. 1 dt 36. x² dx 15. 37. x dx 16. Vx dx -2 38. e* dx 1 dx 17. 16 39. 18. 1 dx In Exercises 40–45, find the average value of the function on the given interval. 19. x dx 40. f(x) = sin x on [0, 7/2] 20. 100 dx 41. y = sin x on [0, ] 42. y = x on 0, 4] 43. y = x on [0, 4] -5 21. 3 dx 273
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Anova and Design of Experiments
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS