# Indefinite Integration

This chapter is devoted entirely to develop tools and techniques to find out anti-derivatives of arbitrary functions. The first section has basic rules and formulae pertaining to integration.Integration by simple re-arrangements is explained in the second section where many complex functions can be reduced to simpler forms by some rearrangement/algebraic manipulation.Integration by substitution is discussed in the third section which is used extensively to evaluate integrals. The fourth section explains the expansion using partial fractions deals with the integration of general algebraic rational functions, of the form *f*(*x*) / *g*(*x*). Integration by parts is introduced in the fifth section using which we can calculate the integral of the product of any two arbitrary functions. At the end of this section, we have a series of exercises to test your understanding of this chapter,solved examples, previous years’ IIT JEE questions pertaining to this chapter.

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## Introduction To Integration

- Meaning of Integration
- Newton Leibnitz Formula
- Basic Rules and Formulae of Integration
- Basic Examples on Integration Set 1
- Basic Examples on Integration Set 2
- Basic Examples on Integration Set 3

## Integration By Substitution

- Examples on Integration By Substitution Set 1
- Examples on Integration By Substitution Set 2
- Examples on Integration By Substitution Set 3
- Examples on Integration By Substitution Set 4
- Examples on Integration By Substitution Set 5
- Examples on Integration By Substitution Set 6
- Examples on Integration By Substitution Set 7
- Examples on Integration By Substitution Set 8
- Examples on Integration By Substitution Set 9
- Examples on Integration By Substitution Set 10
- Examples on Integration By Substitution Set 11
- Examples on Integration By Substitution Set 12
- Examples on Integration By Substitution Set 13

## Integration By Expansion Using Partial Fractions

- Introduction To Integration By Expansion Using Partial Fractions
- Examples on Integration By Expansion Using Partial Fractions Set 1
- Examples on Integration By Expansion Using Partial Fractions Set 2

## Integration By Parts

- Introduction To Integration By Parts
- Examples on Integration By Parts Set 1
- Examples on Integration By Parts Set 2
- Examples on Integration By Parts Set 3
- Examples on Integration By Parts Set 4
- Examples on Integration By Parts Set 5

## Advanced Integration

- Some Advanced Integration Techniques
- Advanced Examples on Integration Set 1
- Advanced Examples on Integration Set 2
- Advanced Examples on Integration Set 3
- Advanced Examples on Integration Set 4
- Advanced Examples on Integration Set 5
- Advanced Examples on Integration Set 6
- Advanced Examples on Integration Set 7

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