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20 questions and an answer page, sized for A4.

Definite integrals

Year 12 · Calculus · 20 questions

Name
Date
  1. 1.
    Evaluate ∫ from 1 to 4 of (8x³ − 4) dx
  2. 2.
    Evaluate ∫ from 2 to 5 of (12x² + 4) dx
  3. 3.
    Evaluate ∫ from 1 to 4 of (3x² + 3) dx
  4. 4.
    Evaluate ∫ from 0 to 2 of (12x³ + 1) dx
  5. 5.
    Evaluate ∫ from 0 to 2 of (12x³ + 3) dx
  6. 6.
    Evaluate ∫ from 0 to 1 of (9x² + 1) dx
  7. 7.
    Evaluate ∫ from 2 to 4 of (9x² − 4) dx
  8. 8.
    Evaluate ∫ from 2 to 4 of (9x² − 6) dx
  9. 9.
    Evaluate ∫ from 1 to 2 of (16x³ + 5) dx
  10. 10.
    Evaluate ∫ from 1 to 2 of (8x − 6) dx
  11. 11.
    Evaluate ∫ from 2 to 3 of (12x² − 3) dx
  12. 12.
    Evaluate ∫ from 1 to 4 of (4x³ + 4) dx
  13. 13.
    Evaluate ∫ from 2 to 3 of (8x³) dx
  14. 14.
    Evaluate ∫ from 2 to 4 of (8x³ − 4) dx
  15. 15.
    Evaluate ∫ from 1 to 2 of (4x − 3) dx
  16. 16.
    Evaluate ∫ from 0 to 3 of (6x² − 2) dx
  17. 17.
    Evaluate ∫ from 0 to 3 of (12x³ − 2) dx
  18. 18.
    Evaluate ∫ from 0 to 3 of (6x − 6) dx
  19. 19.
    Evaluate ∫ from 2 to 4 of (4x³ − 2) dx
  20. 20.
    Evaluate ∫ from 0 to 2 of (6x² + 5) dx

Free maths worksheets and practice: rocketdigits.com/learn/definite-integrals

Answers: Definite integrals

  1. 498
  2. 480
  3. 72
  4. 50
  5. 54
  6. 4
  7. 160
  8. 156
  9. 65
  10. 6
  11. 73
  12. 267
  13. 130
  14. 472
  15. 3
  16. 48
  17. 237
  18. 9
  19. 236
  20. 26

Free maths worksheets and practice: rocketdigits.com/learn/definite-integrals

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