Lesson 1.08d

1.08d Definite integration Quiz: OCR Maths, Unit 8

20 questions

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Lesson 1.08d, Definite integration: 20 multiple choice questions for the OCR Maths (H240), Unit 8: Integration, written with Revision Ninja.

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The 20 questions

  1. What is the value of the integral from 0 to 1 of x dx?

    • 1/2
    • 2
    • 1/3
    • 1
  2. What is the value of the integral from 0 to 2 of e^x dx?

    • 2e^2
    • e^2 - 1
    • e^2 + 1
    • e^2
  3. What happens to the value of a definite integral when its limits are swapped?

    • Value stays identical
    • Value doubles
    • Value becomes zero
    • Sign changes
  4. What is the value of the integral from 1 to 2 of 1/x dx?

    • ln 2
    • 2
    • 1/2
    • ln 1
  5. Evaluate the integral from 1 to 2 of (x^2 + 1) dx.

    • 10/3
    • 4
    • 3
    • 7/3
  6. Evaluate the integral from 0 to pi/2 of sin x dx.

    • 2
    • 1
    • 0
    • pi/2
  7. Evaluate the integral from 0 to 1 of (2x + e^x) dx.

    • e + 1
    • e - 1
    • 2
    • e
  8. Evaluate the integral from 0 to pi of sin 2x dx.

    • 1
    • -1
    • 0
    • pi
  9. Evaluate the integral from 1 to 4 of x^(-1/2) dx.

    • 4
    • 1
    • 3
    • 2
  10. Evaluate the integral from -1 to 1 of (x^3 + x) dx.

    • 2
    • 1
    • 1/2
    • 0
  11. Evaluate the integral from 0 to 2 of (3x^2 - 4x) dx.

    • -4
    • 0
    • 4
    • 8
  12. Evaluate the integral from 1 to 2 of e^(-x) dx.

    • 1 - e^(-1)
    • e^(-1) - e^(-2)
    • e^(-2) - e^(-1)
    • e^(-1) + e^(-2)
  13. If the integral from 0 to k of (2x + 1) dx equals 6 with k > 0, what is k?

    • 3
    • 6
    • 1
    • 2
  14. If the integral from 0 to 1 of k x^2 dx equals 2, what is k?

    • 3
    • 2
    • 6
    • 2/3
  15. If the integral from 1 to 2 of f(x) dx = 3, what is the integral from 1 to 2 of (f(x) + 2) dx?

    • 7
    • 3
    • 6
    • 5
  16. If the integral from 0 to 3 of f = 4 and from 0 to 1 of f = 1, what is the integral from 1 to 3 of f?

    • -3
    • 3
    • 5
    • 4
  17. Evaluate the integral from 1 to 2 of 4/x^2 dx.

    • 2
    • 1
    • -2
    • 4
  18. Evaluate the integral from 0 to pi/4 of cos 2x dx.

    • 1/2
    • 1
    • 0
    • sqrt(2)/2
  19. Evaluate the integral from 0 to 1 of (3 - x) dx.

    • 5/2
    • 7/2
    • 2
    • 3
  20. Evaluate the integral from 1 to 3 of 2/x dx.

    • ln 3
    • 2 ln 3
    • ln 6
    • 2 ln 2

All OCR Maths quizzes