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The Fundamental Theorem of Calculus Practice Questions

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Updated on Oct 1, 2011

To review these concepts, go to The Fundamental Theorem of Calculus Study Guide.

The Fundamental Theorem of Calculus Practice Questions

Suppose f(t) = t + 1 and g(x) = f(t)dt. Evaluate the following.

  1. g(1)
  2. g(2)
  3. g(3)
  4. g(4)
  5. g(5)
  6. g(0)

Now suppose f(t) = 7 and g(x) = f(t)dt. Evaluate the following.

  1. g(0)
  2. g(1)
  3. g(2)
  4. g(3)
  5. g(4)
  6. g(5)

If g(x) = x2 + x then g'(x) = 2x + 1. Use this to evaluate the following.

  1. ( 2x + 1)dx
  2. ( 2x + 1)dx
  3. ( 2x + 1)dx
  4. ( 2x + 1)dx

Use = √x to evaluate the following.

  1. xdx
  2. xdx
  3. xdx
  4. xdx

Use to evaluate the following.

Solutions

  1. 3
  2. 8
  3. 0
  4. 0
  5. 7
  6. 14
  7. 21
  8. 28
  9. 35
  10. 10
  11. –4
  12. 36
  13. 20
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