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Class 12 Mathematics — Chapter 8: Application of Integrals
66 practice questions · 22 Easy · 22 Medium · 22 Hard
Free NCERT-aligned multiple-choice practice for Class 12 Mathematics, Chapter 8 (Application of Integrals). Practise timed Easy, Medium and Hard quizzes with instant explanations — built for CBSE Board exams, JEE Main and NEET UG. Here are a few sample questions; sign in free to practise all 66.
Sample questions
Q1Easy
Area under y=f(x) from a to b (f≥0):
A.∫ₐᵇ f(x) dx✓ correct
B.f(b)−f(a)
C.f'(x)
D.(b−a)·f(a)
Why
Definite integral.
Q2Medium
Area between y=x and y=x² from 0 to 1:
A.1/6✓ correct
B.1/2
C.1/3
D.1
Why
∫₀¹ (x − x²) dx = 1/2 − 1/3 = 1/6.
Q3Hard
Area enclosed by y² = 4x and y = 2x:
A.1/3✓ correct
B.1
C.2/3
D.4/3
Why
Standard exemplar problem.
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