Contents

1. Applications of Derivative

1. Geometrical Meaning of Derivative

1.1 Slope of Normal

1.2 Tangent and Normal

Solved Examples   6

2. Maxima and Minima

2.1 Maximum

2.2 Minimum

2.3 Working rule for Maxima and Minima of y = f(x)

Solved Examples

3. Radius of Curvature

Solved Examples

2. Integration

1. Introduction

1.1 Definition of Integration

1.2 Indefinite Integration or General Integral

1.3 Standard Formulae

2. Rules of Integration 5

2.1 Modification of Formulae for Linear Expression (nx + d)

Solved Examples

2.2 Integration of Simple Rational Functions

Solved Examples

2.3 Integration by Trigonometric Transformations

Solved Examples

3. Methods of Integration

3.1 Integration by Substitution

Solved Examples

3.2 Integration by Parts and Partial Fraction

Solved Examples

3.3 Special Integrals

Solved Examples

Miscellaneous Examples

3. Definite Integrals

1. Introduction

2. Definition

Solved Examples

2.1 Rules of Definite Integrals

Solved Examples

3. Properties of Definite Integrals

Solved Examples

4. Application of Definite Integrals

1. Introduction

2. Area Under the Curve

Solved Examples

3. Area between Two Curves

Solved Examples

5. Differential Equation

1. Introduction

1.1 Order

1.2 Degree

Solved Examples

1.3 Formation of Differential Equation

Solved Examples

2. Solution of First Order First Degree Differential Equation

2.1 Variable Separable

Solved Examples

2.2 Equation Reducible to Method of Variables Separable form by Suitable Substitutions

Solved Examples

2.3 Homogeneous Differential Equations

Solved Examples

2.4 Equations Reducible to Homogeneous Form

Solved Examples

2.5 Linear Differential Equations

Solved Examples

2.6 Bernoulli's Equations (Non-linear Differential Equation)

Solved Examples

2.7 Exact Differential Equation

Solved Examples

6. Probability

1. Introduction

1.1 Definition

1.2 Types of Event

2. Definition of Probability of an Event

2.1 Addition Theorem of Probability

Solved Examples

2.2 Multiplication Theorem of Probability

Solved Examples

7. Probability Distribution

1. Introduction

2. Binomial Distribution

Solved Examples

3. Poisson Distribution

3.1 Mean and Variance of Poisson’s Distribution

Solved Examples

4. Normal Distribution

Solved Examples