Notes (Solutions) of Unit 03: Integration, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore.
- Introduction
- Differentials of Variables
- Distinguishing Between
dy andδy - Simple application of Differentials
- Exercise 3.1
- Integration as anti-derivative ( Inverse of Derivative)
- Some Standrad Formulae for Anti-Derivatives
- Theorems on Anti Derivatives
- Anti-Derivatives of
[f(x)]nf′(x) and[f(x)]−1f′(x) - Exercise 3.2
- Integration by Method of Substitution
- Some Useful Substitutions
- Exercise 3.3
- Integration by parts
- Exercise 3.4
- Integration involving Partial Fraction
- Exercise 3.5
- The Definite Integrals
- The Area Under the Curve
- Theorem of Integrals
- Exercise 3.6
- Application of Definite Integrals
- Exercise 3.7
- Differential Equations
- Solution of a Differential Equation of First Order
- Initial Conditions
- Exercise 3.8
