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Evaluate definite integrals

12th grade (Year 13 in England) · 16 questions · Common Core: HSF.IF.B.6 · England: A-level Pure Mathematics

Name

Date

Score/ 16

  1. Question 1

    Evaluate ∫ from −2 to 1 of (3x² − 4x) dx. Give an exact answer (a fraction is fine).

    Answer(as a fraction)

  2. Question 2

    Evaluate ∫ from 2 to 4 of (9x² − 2) dx.

    Answer

  3. Question 3

    Evaluate ∫ from −1 to 2 of (x² − 3x) dx. Give an exact answer (a fraction is fine).

    Answer(as a fraction)

  4. Question 4

    Evaluate ∫ from 2 to 5 of (12x² − 4) dx.

    Answer

  5. Question 5

    Evaluate ∫ from 1 to 2 of (3x²) dx. Give an exact answer (a fraction is fine).

    Answer(as a fraction)

  6. Question 6

    Evaluate ∫ from 1 to 4 of (6x² − 2) dx.

    Answer

  7. Question 7

    Evaluate ∫ from 1 to 4 of (3x² − 2x) dx. Give an exact answer (a fraction is fine).

    Answer(as a fraction)

  8. Question 8

    Evaluate ∫ from 2 to 4 of (9x² − 1) dx.

    Answer

  9. Question 9

    Evaluate ∫ from −1 to 2 of (2x² − 2x) dx. Give an exact answer (a fraction is fine).

    Answer(as a fraction)

  10. Question 10

    Evaluate ∫ from 2 to 3 of (12x² − 4) dx.

    Answer

  11. Question 11

    Evaluate ∫ from 0 to 1 of (3x² − 2x) dx. Give an exact answer (a fraction is fine).

    Answer(as a fraction)

  12. Question 12

    Evaluate ∫ from 1 to 4 of (9x²) dx.

    Answer

  13. Question 13

    Evaluate ∫ from −1 to 0 of (2x² − 2x) dx. Give an exact answer (a fraction is fine).

    Answer(as a fraction)

  14. Question 14

    Evaluate ∫ from 2 to 5 of (12x² + 2) dx.

    Answer

  15. Question 15

    Evaluate ∫ from −1 to 1 of (x² − x) dx. Give an exact answer (a fraction is fine).

    Answer(as a fraction)

  16. Question 16

    Evaluate ∫ from 1 to 3 of (6x² + 4) dx.

    Answer

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Answer key: Evaluate definite integrals

  1. 1. 15

  2. 2. 164

  3. 3. -3/2

  4. 4. 456

  5. 5. 7

  6. 6. 120

  7. 7. 48

  8. 8. 166

  9. 9. 3

  10. 10. 72

  11. 11. 0

  12. 12. 189

  13. 13. 5/3

  14. 14. 474

  15. 15. 2/3

  16. 16. 60