Chapter 3 Integration Math 12th Class Punjab Simulations
Math English Medium Book
- +3.1 Introduction
- +3.1.1 Differentials of Variables
- +3.1.2 Distinguishing Between dy and delta-y
- +3.1.3 Finding dy/dx by using differentials
- +3.1.4 Simple application of differentials
- +3.1 Exercise
- +3.2 Integration as Anti Derivative (Inverse of Derivative)
- +3.2.1 Some Standard Formulae for Anti Derivatives
- +3.2.2 Theorems
- +3.2.3 Anti-Derivatives of [f(x)]n f ’(x) and [f(x)]-1 f ’(x)
- +3.2 Exercise
- +3.3 Integration by Method of Substitution
- +3.4 Some useful Substitutions
- +3.3 Exercise
- +3.5 Integration by parts
- +3.4 Exercise
- +3.5 Integration involving partial Fractions
- +3.5 Exercise
- +3.6 The Definite Integrals
- +3.6.1 The Area Under The Curve
- +3.6.2 Theorem
- +3.6 Exercise
- +3.7 Application of Definite integrals
- +3.7 Exercise
- +3.8 Differential Equations
- +3.8.1 Solution of a Differential Equation of first order
- +3.8.2 Initial Conditions
- +3.8 Exercise
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