Indefinite Integration
Maharashtra Board · Class 12 · Mathematics & Statistics
Quick revision notes for Indefinite Integration — Maharashtra Board Class 12 Mathematics & Statistics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
1. Basic Concepts and Elementary Integration Formulas
- If d/dx[f(x)] = g(x), then ∫g(x)dx = f(x) + c, where c is the constant of integration
- Integration is represented by the symbol ∫, called the integral sign
- The function to be integrated is called the integrand
2. Integration by Substitution Method
- Used when direct integration is not possible
- Based on chain rule of differentiation
- Involves substituting a part of integrand with a new variable
3. Standard Integrals and Special Forms
- Standard integrals are fundamental forms that appear frequently
- These form the building blocks for more complex integrations
- Must be memorized for quick recognition during exams
4. Integration by Parts
- Used for integrands that are products of two different types of functions
- Based on product rule of differentiation
- Choose first function using LIATE rule
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