Definite Integrals

Mathematics · Chapter 10 · Unit 3: Calculus

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Your path through this chapter

1
Visual lesson Beta
1. Part 1: Evaluation, substitution and basic properties18 slides
2. Part 2: Reflection, symmetry, even and odd functions18 slides
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Notes Beta
6 sections with key terms, formulas and exam tips.
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Flashcards Beta
30 cards for quick recall of key terms and facts.
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Practice
68 board-style questions with instant checks: Multiple choice 25, Short answer 19, Assertion and reason 6, Long answer 6.
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5
Chapter test Free
Short and long chapter tests in board pattern, with results and analysis.
- Chapter test (long) — Definite Integrals · 40 marks · 100 min
- Chapter test (short) — Definite Integrals · 20 marks · 50 min
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Fundamental theorem of calculus (without proof); evaluation of definite integrals including by substitution
Basic properties: dummy variable, reversal of limits, splitting the interval
Properties f(a + b - x) and f(a - x)
Properties over [0, 2a] and [-a, a]; even and odd functions