Application of Integrals

Class 12 · Mathematics

48 questions18 easy22 medium8 hard

Sample Questions

Q1.The area of the region bounded by the curve y = x|x|, the x-axis, x = –1 and x = 1 is:

  • A0
  • B1
  • C2/3
  • D4/3

Q2.The area bounded by the curve y = e^x, y = 0, x = 0 and y = 2 (using horizontal strips) is:

  • A2(1 – log 2)
  • B2 – log 2
  • C2 log 2 – 1
  • Dlog 2

Q3.The area between two curves y = f(x) and y = g(x) where f(x) ≥ g(x) on [a,b] is:

  • A∫ₐᵇ f(x) dx – ∫ₐᵇ g(x) dx
  • B∫ₐᵇ [f(x) – g(x)] dx
  • C∫ₐᵇ [f(x) + g(x)] dx
  • DBoth (a) and (b)

Q4.The area bounded by the parabolas y = x² and y = 2 – x² is:

  • A8/3
  • B4/3
  • C16/3
  • D2

Q5.The area in the first quadrant bounded by x² + y² = 4 is:

  • A2π
  • B4π
  • Cπ
  • Dπ/2

Q6.This is a sample question to preview what you'll get in the full practice test...

  • A. Option one
  • B. Option two
  • C. Option three
  • D. Option four
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Concepts Covered

Area between two curvesArea of circles and ellipsesArea of parabolic regionsArea under simple curvesArea using horizontal strips

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