Indefinite Integrals: Standard Forms and Substitution

Mathematics · Chapter 8 · Unit 3: Calculus

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Your path through this chapter

1
Visual lesson Beta
1. Part 1: Standard forms and powers of sine and cosine18 slides
2. Part 2: Integration by substitution17 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
67 board-style questions with instant checks: Multiple choice 25, Short answer 19, Assertion and reason 6, Long answer 6.
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Chapter test Free
Short and long chapter tests in board pattern, with results and analysis.
- Chapter test (long) — Indefinite Integrals: Standard Forms and Substitution · 40 marks · 100 min
- Chapter test (short) — Indefinite Integrals: Standard Forms and Substitution · 20 marks · 50 min
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Integration as anti-differentiation; standard integrals of (ax + b)^n, sin x, cos x, sec^2 x, cosec^2 x, 1/x and e^x
Integrals of powers sin^2 x, sin^3 x, sin^4 x, cos^2 x, cos^3 x, cos^4 x
Integration by substitution; integrals of the forms f'(x)[f(x)]^n and f'(x)/f(x); integrals of tan x, cot x, sec x and cosec x