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Integration Rapid Review for AP Calculus

By — McGraw-Hill Professional
Updated on Oct 24, 2011

Review the following concepts if needed:

Review Problems and Answers

  1. Evaluate .
  2. Answer: Rewrite as .

  3. Evaluate
  4. Answer: Rewrite as .

  5. Evaluate
  6. Answer: Rewrite as . Let u = x 2 – 1.

    Thus, .

  7. Evaluate .
  8. Answer: –cos x + C.

  9. Evaluate
  10. Answer: Let u =2x and obtain .

  11. Evaluate
  12. Answer: Let u = ln x; and obtain .

  13. Evaluate
  14. Answer:Let u = x2; and obtain .

  15. Evaluate
  16. Answer: Let u = x, du = dx, dv = cos xdx, and v = sin x,

    then .

  17. Evaluate
  18. Answer: .

 

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