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Integration by parts Quiz: printable

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Integration by parts Quiz

Name: ______________________   Date: __________   Score: ____ / 9

9 questions. Calculator allowed. Show your working. steplyclass.com/calculus-2/integration-by-parts/quiz/

  1. 1

    Integrate ∫ x ex dx

    Answer: ____________________

  2. 2

    Integrate ∫ 2x ex dx

    Answer: ____________________

  3. 3

    Integrate ∫ x e2x dx

    Answer: ____________________

  4. 4

    Integrate ∫ x e−x dx

    Answer: ____________________

  5. 5

    Integrate ∫ (x + 1)ex dx

    Answer: ____________________

  6. 6

    Integrate ∫ (x − 2)ex dx

    Answer: ____________________

  7. 7

    Evaluate ∫ from 0 to 1 of x ex dx

    Answer: ____________________

  8. 8

    Evaluate ∫ from 1 to e of x ln x dx

    Answer: ____________________

  9. 9

    Evaluate ∫ from 0 to 2 of x ex dx
    1. A) 8.389
    2. B) 0.8389
    3. C) 8389
    4. D) 83.89

Answer key

  1. xex − ex + C
  2. 2xex − 2ex + C
  3. 1/2xe2x − 14e2x + C
  4. −xe−x − e−x + C
  5. xex + C
  6. xex − 3ex + C
  7. 1
  8. 2.097
  9. A 8.389

Every answer solved step by step: steplyclass.com/calculus-2/integration-by-parts/quiz/answers/