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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 1 to 3 of (9x² + 2) dx.

    Answer

  2. Question 2

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

    Answer(as a fraction)

  3. Question 3

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

    Answer

  4. Question 4

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

    Answer(as a fraction)

  5. Question 5

    Evaluate ∫ from 2 to 5 of (3x² − 3) dx.

    Answer

  6. Question 6

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

    Answer(as a fraction)

  7. Question 7

    Evaluate ∫ from 2 to 5 of (3x² − 2) dx.

    Answer

  8. Question 8

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

    Answer(as a fraction)

  9. Question 9

    Evaluate ∫ from 0 to 2 of (6x² − 4) dx.

    Answer

  10. Question 10

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

    Answer(as a fraction)

  11. Question 11

    Evaluate ∫ from 2 to 5 of (9x² − 3) dx.

    Answer

  12. Question 12

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

    Answer(as a fraction)

  13. Question 13

    Evaluate ∫ from 2 to 5 of (3x² + 5) dx.

    Answer

  14. Question 14

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

    Answer(as a fraction)

  15. Question 15

    Evaluate ∫ from 0 to 3 of (6x² + 3) dx.

    Answer

  16. Question 16

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

    Answer(as a fraction)

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  1. 82
  2. 38
  3. 78
  4. 32/3
  5. 108
  6. -2/3
  7. 111
  8. 23/2
  9. 8
  10. 40/3
  11. 342
  12. 4/3
  13. 132
  14. 27/2
  15. 63
  16. 26