JAMB Mathematics · Calculus

Integration: JAMB Mathematics Past Questions and Answers

What the JAMB syllabus covers in Integration

Our summary: Reversing differentiation and finding the area under a curve.

  • Integration of explicit algebraic and simple trigonometrical functions
  • Area under the curve

Objectives

  • Solve problems of integration involving algebraic and simple trigonometric functions
  • Calculate area under the curve (simple cases only)

Syllabus content © The Joint Admissions and Matriculation Board (UTME).

JAMB Mathematics questions on Integration

  1. JAMB 2025Integrate the function y = 3x ^2 + 2x - 5 with respect to x.
  2. JAMB 2025Integrate y = 4x ^3 + 2x + cos x.
  3. JAMB 2023Determine the area of the region bounded by y = 2x^2 + 10 and Y = 4x + 16 .
  4. JAMB 2023Evaluate 0^1 4x - 6 [3] x^2 dx
  5. JAMB 2022Integrate (2x+1) ^3
  6. JAMB 2019Integrate (4x^ -3 - 7x^2 + 5x - 6) d x .
  7. JAMB 2019Integrate -1 ^ 2 (2x^2 + x) d x
  8. JAMB 2018Integrate the expression 6x ^2 - 2x + 1
  9. JAMB 2018Evaluate ∫ ^2 1 5/x dx
  10. JAMB 2017Find ∫(x2 + 3x − 5)dx
  11. JAMB 2016Evaluate 0^ /2 sin xdx
  12. JAMB 2016Evaluate (cos4x + sin3x)dx
  13. JAMB 2016Evaluate (sinx - 5x2)dx
  14. JAMB 2016Integrate 2x^3 + 2x/x with respect to x
  15. JAMB 2015Integral ∫ (5x^3 + 7x^2 − 2x + 5) dx
  16. JAMB 2014Evaluate 2x dx
  17. JAMB 2014Evaluate (2x + 3)^ 1/2 x
  18. JAMB 2013Integrate 1 + x x^ 3 d x
  19. JAMB 2013Evaluate 0 ^ /2 x d x
  20. JAMB 2012Evaluate ^ /4 0sec^2 d
  21. JAMB 2012Evaluate ^2 1(x^2 - 4x)dx
  22. JAMB 2011Find cos4 x dx
  23. JAMB 2011Evaluate ^ 1 0 (3 - 2x)dx
  24. JAMB 2010Find ∫(sin x + 2)dx
  25. JAMB 2010Evaluate ^ 2 0 (x^3 + x^2) dx.

Years with Integration questions in DeeepSolve's question bank

From the past questions DeeepSolve holds, not a count of everything the exam body has set.

  • 2025
  • 2023
  • 2022
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010