University:
Missouri State University
Course:
MTH 136 | Precalculus 1
Academic year:

2020
Views:

500

Pages:

5
Author:

camilobonilladz36

Example) Below you are given the graph of f(x) formed by lines and a semi-circle. Find the definite integrals. This is the graph of f(x) 1. [integrate f(t) dt from t to t = 0] 2. integrate f(t) dt from 0 to ∞ = 2 3. integrate f(t) dt from a to b = 2 4. [integrate f(t) dt from 0 to 3 = 4] 5. integrate f(t) dt from 0 to 0 = - 1.5 6. integrate f(t) dt from 0 to 1 = 1.5 7. boxed integrate f(t) dt from 0 to t = 2.5 8. integrate f(t) dt from n to 10 = 2pi 9. int i0 ^ 6 f(t) * dt = - 2pi 10. integrate f(t) dt from 0 to 0 = 2.5 + 2pi 11. integrate f(t) dt from 10 to 0 = - 2.5 - 2xt 12 integrate f(t) dt from - 3 to 0 = 3 13. integrate f(t) dt from a to a = 11 14. integrate f(t) dt from 0 to 1 = - 11 15. integrate f(t) dt from - 1 to - 1 = - 0.5 16. integrate f(t) dt from - 4 to 6 = 10.5 17. integrate f(t) dt from - 1 to m = 13 + 2pi 18. |integrate f(t) dt from 0 to 10| =2.5+2x| 19. integrate |f(t)| dt from 0 to 10 = 5.5 + 2pi 20. |integrate f(t) dt from - t to 0| = 13 + 2pi 21. int i0 ^ -4 |2f(t)| * dt =-34-4 pi| Suppose integrate f(x) dx from - 2 to 5 = 18 integrate g(x) dx from - 2 to 5 = 5 integrate h(x) dx from - 2 to x = - 11 and integrate f' * (x) dx from - 2 to 8 = 0, 1 find 22. integrate (f(x) + g(x)) dx from - 2 to 5 = 23 23. integrate [f(x) + g(x) - h(x)] dx from - 2 to 5 = 34 24. integrate 4g(x) dx from 5 to - 2 = - 20 25. integrate (g(x) + 2) dx from a to 5 = 19 26. integrate (f(x) - 6) dx from - 2 to 3 = - 24 27. integrate h(x - 2) dx from 0 to x = - 11 28. integrate g(x + 2) dx from - 4 to 1 = 5 integrate f(x) dx from b to b = - 18 30. integrate [f(x - 3) + 3] dx from 1 to n = 39 The Definite Integral as Area - Homework f(x) 1. integrate f(x) dx from 0 to 1 = 2 2. integrate f(x) dx from 2 to 3 = 8 3. [integrate f(x) dx from a to b = 12] 4. integrate f(x) dx from a to a = 0 integrate f(x) dx from a to a = 2 6. integrate f(x) dx from a to 6 = - 2 7. integrate f(x) dx from a to b = 0 8. integrate f(x) dx from 0 to 0 = 14 9. integrate f(x) dx from 2 to 2 = - 4 10. | integrate f(x) dx from a to b =-16| 11. integrate f(x) dx from 0 to 0 = - 14 12. integrate f(x) dx from - 1 to 5 = - 6 13. integrate f(x) dx from 0 to - 3 = 6 14. integrate f(x) dx from - 2 to 2 = 0 15. integrate f(x) dx from 4 to - 1 = - 8 16. integrate f(x) dx from 0 to - 5 = (9pi)/4 17. integrate f(x) dx from - 3 to 6 = (- 9pi)/4 18. f(x) * dx = (9pi)/4 - 6 19. integrate f(x) dx from - 6 to 6 = 9x 4 +8| 20. integrate f(x) dx from 0 to - 6 = - (9pi)/4 - 8 21. integrate f(x) dx from 2 to 1 |=2 22. integrate |f(x)| dx from - 2 to 1 = 6 23. integrate |- f(x)| dx from - 2 to 1 =6| 24. boxed integrate |f(x)| dx from - 6 to 6 = 9 pi 4 +24| Suppose that integrate f(x) dx from 0 to 2 = 2 f(x) de--1. integrate f(x) dx from gamma to 4 = 7 evaluate the following: 25. integrate f(x) dx from 1 to 4 = 6 26. boxed integrate 3f(x) dx from 0 to 4 = 27 28. integrate f(x + 1) dx from 0 to 1 = - 1 29. integrate (f(x) + 3) dx from 0 to 2 = 8 30. int 0 ^ infty f(x)dx=3|\\ 0 ^ infty f(x - 2) * dx = 2 31. If integrate f(x) dx from 0 to 1 = - 1 find integrate f(x) dx from - 3 to 3 if f is a) even 2 b) odd