Practice Problems
Site: | Saylor Academy |
Course: | MA005: Calculus I |
Book: | Practice Problems |
Printed by: | Guest user |
Date: | Wednesday, April 17, 2024, 8:16 PM |
Description
Work through the odd-numbered problems 1-55. Once you have completed the problem set, check your answers.
Practice Problems
Use the integral table for the following problems.
In problems 43 – 47 , use the recursion formulas in the table
49. Before doing any calculations, predict which do you expect to be larger; the average value of or of on the interval ? Then calculate each average to see if your prediction was correct.
51. Find the average value of on the interval when
53. Before doing any calculations, predict which of the following integrals you expect to be the largest?
(a) (b) (c) Then calculate the value of each integral.
55. Evaluate fo . Before doing the calculation, estimate the value of the integral when .
Source: Dale Hoffman, https://s3.amazonaws.com/saylordotorg-resources/wwwresources/site/wp-content/uploads/2012/12/MA005-5.9-Using-Tables-to-Find-Antiderivatives.pdf
This work is licensed under a Creative Commons Attribution 3.0 License.
Answers
15. First substitute . Then use Table #34 with
17. Table #43 and substitution .
19. Table #38 and substitution
21. Table #38 and substitution
23. Table #38 and substitution
45. Table #20: { answer to number 44 }
49. Average of on is . Average of on is
51. Using results from #50: (a) (b)
53. (c) is largest.