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Areas Under Curves Practice Questions

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Updated on Oct 1, 2011

To review these concepts, go to Areas Under Curves Study Guide.

Areas Under Curves Practice Questions

Evaluate the following integrals.

Use the following graph to solve practice problems 1, 2, and 3.

Areas under Curves

  1. f(x)dx
  2. f(x)dx
  3. f(x)dx

Use the following graph for practice problems 4, 5, and 6.

Areas under Curves

  1. g(x)dx
  2. g(x)dx
  3. g(x)dx

Use the following graph for practice problems 7, 8, and 9.

Areas under Curves

  1. h(t)dt
  2. h(t)dt
  3. h(t)dt

Use the following graph for practice problems 10 through 18.

Areas under Curves

  1. k(x)dx
  2. k(x)dx
  3. k(x)dx
  4. (x + 2) dx
  5. 2 dx  
  6. (t – 3)dt
  7. xdx
  8. 2xdx
  9. (2x – 2)dx

Suppose f(x) dx = 10, f(x) dx = – 5, and f(x) dx = 2. Evaluate the following.

  1. f(x) dx  
  2. f(x) dx
  3. f(x) dx

Suppose g(t)dt = – 3,  g(t)dt = 8, and  g(t)dt = – 10. Evaluate the following.

  1. g(t)dt  
  2. g(t)dt  
  3. g(t)dt

Suppose h(x)dx = 20 ,  h(x)dx = 12 and h(x)dx = –5. Evaluate the following.

  1. h(x)dx  
  2. h(x)dx  
  3. h(x)dx

Solutions

  1. 2
  2. 3
  3. 3 + 2π
  4. 0
  5. 4
  6. 0
  7. 16
  8. 6
  9. 0
  10. 35
  11. 48
  12. 5
  13. –3
  14. 7
  15. 7
  16. –11
  17. –1
  18. 8
  19. –17
  20. 25
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