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# Integration

Simply Easy Learning

Updated on May, 2024

Language - English

English [CC]

Lectures -107

Duration -6.5 hours

4

Training 5 or more people ?

## 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 &int; P(x)dx/(ax + b)<sup>n</sup>
1 Lectures
Form &int; sin <sup>m</sup> x dx and &#8747; cos <sup>m</sup> x dx
2 Lectures
Form Product of Sin & / Or Cos
1 Lectures
Evaluation of Integrals
4 Lectures
Form &int; [f(x)]<sup>n</sup> f<sup>&#039;</sup>(x) dx
1 Lectures
Form &int; (ax + b)<sup>n</sup> p(x) dx
1 Lectures
Form &int; tan<sup>m</sup>x Sec<sup>2n</sup>x dx
1 Lectures
Form &#8747; Sin<sup>m</sup>x Cos<sup>n</sup>x dx
2 Lectures
Trigonometric Substitution
2 Lectures
Problems on Special Integrals
3 Lectures
Form &#8747; dx/ ax<sup>2</sup> + bx + c
2 Lectures
2 Lectures
Form &#8747; px + q dx / ax<sup>2</sup> + bx + c
1 Lectures
Form &#8747; dx / a sin <sup>2</sup> x + b cos <sup>2</sup> x
1 Lectures
Form &#8747; dx / a sin x + b cos x
1 Lectures
Integration by Parts
4 Lectures
Form &#8747; [e<sup>x</sup> {f(x) + f&#039;(x)}] dx
3 Lectures
Form &int; e<sup>ax</sup> sin bx dx
2 Lectures
Form &int; e<sup>ax</sup> cos bx dx
2 Lectures
2 Lectures
2 Lectures
2 Lectures
2 Lectures
Form &#8747; px + q &radic;<span class="radicand">ax<sup>2</sup> + bx + c</span><i class="play"></i>&nbsp; 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

Tutorialspoint

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## Feedbacks

Vignesh Senthil kumar

e

your method of teaching is amazing.