# Practice Problems

Site: | Saylor Academy |

Course: | MA005: Calculus I |

Book: | Practice Problems |

Printed by: | Guest user |

Date: | Saturday, July 13, 2024, 5:07 AM |

## 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.