∫ f(x) dx = F(x) + C ∫ab f(x) dx
NCERT Mathematics · Class XII · Chapter 7
Integrals
Previous Years' Objective Questions — Entrance Exam Series
Questions50
Year Span27y
From1996
Exams3
BITSATJEE AdvancedJEE Main
- Integration as Inverse of Differentiation
- Integration by Substitution
- Standard Integrals
- Integration by Partial Fractions
- Integration by Parts
- Definite Integrals
- Fundamental Theorem of Calculus
- Properties of Definite Integrals
Q: How should I start?
A: Identify the integration technique — substitution, parts, or partial fractions — before writing anything.
Q: MathJax equations?
A: MathJax renders ∫ and fraction notation — allow a moment after page load.
Q: Timing strategy?
A: 2 min average per question; definite integrals with properties can save time.
Q: When to submit?
A: After reviewing all attempted questions — score analysis generated immediately.
Integrals is one of the highest-weightage Class XII chapters, with 3–5 JEE questions every paper. These 50 past-paper questions from 1996–2023 span substitution, parts, partial fractions, and definite integral properties.
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