Quelpr

Applications of Integration · CSEC Additional Mathematics

33 past-paper questions on Applications of Integration, part of Integration, from every CSEC Additional Mathematics paper on Quelpr.

Practise Applications of Integration
  1. 6(b)4 marks· Additional Mathematics Q6 6(b)Determine the volume of the solid of revolution formed.
  2. 6(b)4 marks· Additional Mathematics Q6 6(b)Calculate the area of the region R.
  3. 6(c)3 marks· Additional Mathematics Q6 6(c)Calculate the area between the curve y = 2 cos x + 3 sin x and the x-axis from x = 0 to π/3.
  4. 6(c)8 marks· Additional Mathematics Q6 6(c)Find the area of the finite region bounded by the curve in the first quadrant.
  5. 6(c)4 marks· Additional Mathematics Q6 6(c)Calculate, in terms of π, the volume of the solid formed when the area enclosed by the curve y = x^2 + 1 and the x-axis, from x = 0 to x = 1, is rotated through 360° about the x-axis.
  6. 6(c)(ii)4 marks· Additional Mathematics Q6 6(c)(ii)Determine the area under the curve in the finite region in the first quadrant between 0 and 3 on the x-axis.
  7. 6(c)(ii)3 marks· Additional Mathematics Q6 6(c)(ii)Find the area of the finite region bounded by the curve, the x-axis, the line x = 3 and the line x = 4.
  8. 6(d)4 marks· Additional Mathematics Q6 6(d)Calculate the volume of the solid formed when the area enclosed by the curve y = x² + 2 and the x-axis, from x = 0 to x = 3, is rotated through 360° about the x-axis. [Leave your solution in terms of π].
  9. 6(d)4 marks· Additional Mathematics Q6 6(d)Calculate the volume of the solid formed when the area enclosed by the straight line y = x/2 and the x-axis for x = 0 to x = 6 is rotated through 2π about the x-axis.
  10. 8(a)(ii)a)4 marks· Additional Mathematics Q8 8(a)(ii)a)From your graph determine the total distance, in metres, travelled by the particle.
  11. 8(a)(ii)b)2 marks· Additional Mathematics Q8 8(a)(ii)b)From your graph determine the average velocity of the particle for the entire journey.
  12. 8(a)(iii)4 marks· Additional Mathematics Q8 8(a)(iii)Determine the increase in displacement over the interval t = 0 to t = 4.
  13. 8(b)(i)5 marks· Additional Mathematics Q8 8(b)(i)Determine its velocity when t = 4.
  14. 8(b)(i)5 marks· Additional Mathematics Q8 8(b)(i)Find the velocity when t = 4.
  15. 8(b)(ii)5 marks· Additional Mathematics Q8 8(b)(ii)Find the displacement of the particle from O when t = 3.
  16. 8(b)(ii)5 marks· Additional Mathematics Q8 8(b)(ii)Determine its displacement from O when t = 3.
  17. 8(b)(ii)6 marks· Additional Mathematics Q8 8(b)(ii)Calculate the displacement of the particle in the interval of time t = π to t = 2π.
  18. 8(b)(ii)6 marks· Additional Mathematics Q8 8(b)(ii)Determine the distance the particle travels in the fourth second.
  19. 8(b)(ii)3 marks· Additional Mathematics Q8 8(b)(ii)Calculate the distance travelled by the particle between 1 second and 3 seconds.
  20. 8(b)(iii)5 marks· Additional Mathematics Q8 8(b)(iii)Find the distance moved by the particle from P to the point where the particle attains its maximum velocity.
  21. 10(b)(ii)2 marks· Additional Mathematics Q10 10(b)(ii)Hence find ∫ (x + 1)/√(x + 4) dx.
  22. 11(iii)4 marks· Additional Mathematics Q11 11(iii)Find the distance AB.
  23. 12 EITHER (ii)5 marks· Additional Mathematics Q12 12 EITHER (ii)Find the area of the shaded region.
  24. 12 OR (ii)6 marks· Additional Mathematics Q12 12 OR (ii)Find the area of the shaded region.
  25. Q411 mark · multiple choice· CSEC Additional Mathematics · 2013 · Paper 1The region bounded by the curve y = x^2, the x-axis and the lines x = 0 and x = 1 is rotated 360^\circ about the x axis. The volume of the solid generated can be found from:
  26. Q451 mark · multiple choice· CSEC Additional Mathematics · 2013 · Paper 1The region R is enclosed by the x-axis, the curve y = -x^2 + 2, the lines x = 0 and x = 1. The area of R is
  27. Q431 mark · multiple choice· CSEC Additional Mathematics · 2014 · Paper 1The region R is enclosed by the x-axis, the curve y = x^2 + 2x - 1, the lines x = 2 and x = 3. The area, in units^2, of R is
  28. Q411 mark · multiple choice· CSEC Additional Mathematics · 2015 · Paper 1The region bounded by the curve y = x^2, the x-axis and the lines x = 0 and x = 1 is rotated 360^\circ about the x-axis. The volume of the solid generated can be found from:
  29. Q451 mark · multiple choice· CSEC Additional Mathematics · 2015 · Paper 1The region R is enclosed by the x-axis, the curve y = -x^2 + 2, the lines x = 0 and x = 1. The area of R is
  30. Q411 mark · multiple choice· CSEC Additional Mathematics · 2016 · Paper 1The region bounded by the curve y = x^2, the x-axis and the lines x = 0 and x = 1 is rotated 360^\circ about the x-axis. The volume of the solid generated can be found from
  31. Q431 mark · multiple choice· CSEC Additional Mathematics · 2016 · Paper 1The region R is enclosed by the x-axis, the curve y = x^2 + 2x - 1, the lines x = 2 and x = 3. The area of R in units^2 is
  32. Q421 mark · multiple choice· CSEC Additional Mathematics · May/June 2017 · Paper 1The region bounded by the curve y = 2x^2, the x-axis, and the lines x = 0 and x = 1 is rotated 360^\circ about the x-axis. The volume of the solid generated can be calculated by
  33. Q451 mark · multiple choice· CSEC Additional Mathematics · May/June 2017 · Paper 1The region R is enclosed by the x-axis, the curve y = -x^2 + 2 and the lines x = 0 and x = 1. The area of R is

Related topics in Integration