JAMB Mathematics questions: Integration

23 questions with answers and explanations. Tap an option to check yourself.

1. Question 1· Integration· JAMB

   Evaluate the integral of x³ from x = 1 to x = 2.

   • A15
   • B4
   • C7/4
   • D15/4

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   Explanation and discussion

2. Question 2· Integration· JAMB

   Find ∫ sin x dx.

   • Asin x + c
   • Bcos x + c
   • C−cos x + c
   • D−sin x + c

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   Explanation and discussion

3. Question 3· Integration· JAMB

   Find ∫ cos x dx.

   • A−sin x + c
   • Bsin x + c
   • Ccos x + c
   • D−cos x + c

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4. Question 4· Integration· JAMB

   Find ∫ x⁻² dx.

   • Ax⁻¹ + c
   • B1/x + c
   • C−2x⁻³ + c
   • D−1/x + c

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5. Question 5· Integration· JAMB

   Find the area between y = x² and the x-axis from x = 1 to x = 3.

   • A9
   • B8
   • C26/3
   • D28/3

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   Explanation and discussion

6. Question 6· Integration· JAMB

   Evaluate the integral of (3x² + 2x) from x = 0 to x = 1.

   • A1
   • B3
   • C5
   • D2

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7. Question 7· Integration· JAMB

   Find the area enclosed by the curve y = x², the x-axis and the lines x = 0 and x = 3.

   • A9 square units
   • B27 square units
   • C3 square units
   • D6 square units

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   Explanation and discussion

8. Question 8· Integration· JAMB

   Find the area under the line y = 2x + 1 between x = 0 and x = 2.

   • A6
   • B5
   • C4
   • D8

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9. Question 9· Integration· JAMB

   Find ∫ 5 dx.

   • A0
   • B5 + c
   • Cx⁵ + c
   • D5x + c

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10. Question 10· Integration· JAMB

    Find ∫ (3x² − 2x + 1) dx.

    • Ax³ − x² + x + c
    • B6x − 2 + c
    • C3x³ − 2x² + x + c
    • Dx³ − 2x² + x + c

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11. Question 11· Integration· JAMB

    Find ∫ (2x + 1)² dx.

    • A(4/3)x³ + 4x² + x + c
    • B(2x + 1)³/3 + c
    • C4x² + 4x + c
    • D(4/3)x³ + 2x² + x + c

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    Explanation and discussion

12. Question 12· Integration· JAMB

    Find ∫ 3x² dx.

    • A3x³ + c
    • B6x + c
    • Cx³ + c
    • Dx² + c

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    Explanation and discussion

13. Question 13· Integration· JAMB

    Evaluate ∫₀² 3x² dx.

    • A6
    • B4
    • C12
    • D8

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14. Question 14· Integration· JAMB

    Evaluate ∫(4x + 3) dx.

    • A4x² + 3x + c
    • B2x² + 3x + c
    • C2x² + c
    • Dx² + 3x + c

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15. Question 15· Integration· JAMB

    Find ∫ (x + 1) dx.

    • Ax² + x + c
    • Bx²/2 + x + c
    • C1 + c
    • Dx²/2 + c

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16. Question 16· Integration· JAMB

    Evaluate the integral of cos x from x = 0 to x = π/2.

    • A0
    • B1
    • Cπ/2
    • D−1

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17. Question 17· Integration· JAMB

    Find the integral of (6x² − 4x + 3) with respect to x.

    • A12x − 4 + c
    • B2x³ − 2x² + 3x + c
    • C6x³ − 4x² + 3x + c
    • D2x³ − 4x² + 3 + c

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18. Question 18· Integration· JAMB

    Evaluate the integral of 2x from x = 0 to x = 3.

    • A6
    • B9
    • C3
    • D18

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19. Question 19· Integration· JAMB

    Evaluate the integral of sin x from x = 0 to x = π.

    • A1
    • B0
    • C2
    • D−2

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20. Question 20· Integration· JAMB

    dy/dx = 4x − 3 and y = 5 when x = 1. Find y in terms of x.

    • Ay = 4x² − 3x + 4
    • By = 2x² − 3x + 5
    • Cy = 2x² − 3x + 6
    • Dy = 2x² − 3x

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    Explanation and discussion