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# Integration

Simply Easy Learning

Lectures -**107**

Duration -**6.5 hours **

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## Course Description

Integration is one of the two main operations of calculus, with its inverse, differentiation, being the other.The principles of integration were formulated independently by Isaac Newton and Gottfried Leibniz.It can be used to find areas, volumes etc.We had already taken up differentiation.Hence this video series is based on Integrals for class 12 students for board level and IIT JEE Mains.

# Audience

These video classes have been designed for Class 12 students (Non-medical students and commerce students with Mathematics), those who are preparing for CBSE and other Board Exams for Intermediate, +2 and IIT JEE entrance exams. These classes will also be helpful for students in preparing them for Competitive Examinations for Engineering Institutes like IIT JEE etc.

## Curriculum

Check out the detailed breakdown of whatâ€™s inside the course

##
Integration

15 Lectures

- Integrals Syllabus 09:25 09:25
- Overview of Integration 05:08 05:08
- Important Terms in Integration 02:26 02:26
- Formulas on Integration 06:48 06:48
- Integration Problems Example 02:35 02:35
- Geometric Interpretation of Integral 02:41 02:41
- Properties of Indefinite Integrals 01:50 01:50
- Integration Problem Example 1 01:17 01:17
- Integration Problem Example 2 03:18 03:18
- Integration Problem Example 3 01:46 01:46
- Integration Problem Example 4 03:00 03:00
- Integration Problem Example 5 02:41 02:41
- Integration Problem Example 6 05:14 05:14
- Integration Problem Example 7 03:57 03:57
- Integration Problem Example 8 01:42 01:42

##
Methods of Integration

13 Lectures

##
Form ∫ P(x)dx/(ax + b)<sup>n</sup>

1 Lectures

##
Form ∫ sin <sup>m</sup> x dx and ∫ cos <sup>m</sup> x dx

2 Lectures

##
Form Product of Sin & / Or Cos

1 Lectures

##
Evaluation of Integrals

4 Lectures

##
Form ∫ [f(x)]<sup>n</sup> f<sup>'</sup>(x) dx

1 Lectures

##
Form ∫ (ax + b)<sup>n</sup> p(x) dx

1 Lectures

##
Form ∫ tan<sup>m</sup>x Sec<sup>2n</sup>x dx

1 Lectures

##
Form ∫ Sin<sup>m</sup>x Cos<sup>n</sup>x dx

2 Lectures

##
Trigonometric Substitution

2 Lectures

##
Problems on Special Integrals

3 Lectures

##
Form ∫ dx/ ax<sup>2</sup> + bx + c

2 Lectures

##
Form ∫ (dx/√<span class="radicand">ax<sup>2</sup> + bx + c

2 Lectures

##
Form ∫ px + q dx / ax<sup>2</sup> + bx + c

1 Lectures

##
Form ∫ dx / a sin <sup>2</sup> x + b cos <sup>2</sup> x

1 Lectures

##
Form ∫ dx / a sin x + b cos x

1 Lectures

##
Integration by Parts

4 Lectures

##
Form ∫ [e<sup>x</sup> {f(x) + f'(x)}] dx

3 Lectures

##
Form ∫ e<sup>ax</sup> sin bx dx

2 Lectures

##
Form ∫ e<sup>ax</sup> cos bx dx

2 Lectures

##
Form ∫ √<span class="radicand">a<sup>2</sup> - x<sup>2</sup></span><i class="play"></i> dx

2 Lectures

##
Form ∫ √<span class="radicand">x<sup>2</sup> - a<sup>2</sup></span><i class="play"></i> dx

2 Lectures

##
Form ∫ √<span class="radicand">x<sup>2</sup> + a<sup>2</sup></span><i class="play"></i> dx

2 Lectures

##
Form ∫ √<span class="radicand">ax<sup>2</sup> + bx + c</span><i class="play"></i> dx

2 Lectures

##
Form ∫ px + q √<span class="radicand">ax<sup>2</sup> + bx + c</span><i class="play"></i> dx

2 Lectures

##
Integration by Partial Fractions

6 Lectures

##
Definite Integration

5 Lectures

##
Properties of Definite Integral

9 Lectures

##
Limit of Sum

4 Lectures

##
Miscellaneous Problems Integrals

4 Lectures

##
IIT JEE Questions on Integrals

4 Lectures

## Instructor Details

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