Tutorialspoint

Celebrating 11 Years of Learning Excellence! Use: TP11

Introduction to Integration: Online Course

person icon Tutorialspoint

4.4

Introduction to Integration: Online Course

This series is based on Integrals for class 12 students for board level and IIT JEE Mains

updated on icon Updated on Jun, 2025

language icon Language - English

person icon Tutorialspoint

English [CC]

category icon Teaching and Academics ,Math,Calculus

Lectures -107

Duration -6.5 hours

Lifetime Access

4.4

price-loader

Lifetime Access

30-days Money-Back Guarantee

Training 5 or more people ?

Get your team access to 10000+ top Tutorials Point courses anytime, anywhere.

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.

Target audience:

These video classes have been designed for Class 12 students (Non-medical students and commerce students with Mathematics), and 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.

Introduction to Integration: Online Course

Curriculum

Check out the detailed breakdown of what’s inside the course

Integration

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

Methods of Integration

13 Lectures
Tutorialspoint

Form &int; P(x)dx/(ax + b)<sup>n</sup>

1 Lectures
Tutorialspoint

Form &int; sin <sup>m</sup> x dx and &#8747; cos <sup>m</sup> x dx

2 Lectures
Tutorialspoint

Form Product of Sin & / Or Cos

1 Lectures
Tutorialspoint

Evaluation of Integrals

4 Lectures
Tutorialspoint

Form &int; [f(x)]<sup>n</sup> f<sup>&#039;</sup>(x) dx

1 Lectures
Tutorialspoint

Form &int; (ax + b)<sup>n</sup> p(x) dx

1 Lectures
Tutorialspoint

Form &int; tan<sup>m</sup>x Sec<sup>2n</sup>x dx

1 Lectures
Tutorialspoint

Form &#8747; Sin<sup>m</sup>x Cos<sup>n</sup>x dx

2 Lectures
Tutorialspoint

Trigonometric Substitution

2 Lectures
Tutorialspoint

Problems on Special Integrals

3 Lectures
Tutorialspoint

Form &#8747; dx/ ax<sup>2</sup> + bx + c

2 Lectures
Tutorialspoint

Form &#8747; (dx/&radic;<span class="radicand">ax<sup>2</sup> + bx + c

2 Lectures
Tutorialspoint

Form &#8747; px + q dx / ax<sup>2</sup> + bx + c

1 Lectures
Tutorialspoint

Form &#8747; dx / a sin <sup>2</sup> x + b cos <sup>2</sup> x

1 Lectures
Tutorialspoint

Form &#8747; dx / a sin x + b cos x

1 Lectures
Tutorialspoint

Integration by Parts

4 Lectures
Tutorialspoint

Form &#8747; [e<sup>x</sup> {f(x) + f&#039;(x)}] dx

3 Lectures
Tutorialspoint

Form &int; e<sup>ax</sup> sin bx dx

2 Lectures
Tutorialspoint

Form &int; e<sup>ax</sup> cos bx dx

2 Lectures
Tutorialspoint

Form &#8747; &radic;<span class="radicand">a<sup>2</sup> - x<sup>2</sup></span><i class="play"></i>&nbsp; dx

2 Lectures
Tutorialspoint

Form &#8747; &radic;<span class="radicand">x<sup>2</sup> - a<sup>2</sup></span><i class="play"></i>&nbsp; dx

2 Lectures
Tutorialspoint

Form &#8747; &radic;<span class="radicand">x<sup>2</sup> + a<sup>2</sup></span><i class="play"></i>&nbsp; dx

2 Lectures
Tutorialspoint

Form &#8747; &radic;<span class="radicand">ax<sup>2</sup> + bx + c</span><i class="play"></i>&nbsp; dx

2 Lectures
Tutorialspoint

Form &#8747; px + q &radic;<span class="radicand">ax<sup>2</sup> + bx + c</span><i class="play"></i>&nbsp; dx

2 Lectures
Tutorialspoint

Integration by Partial Fractions

6 Lectures
Tutorialspoint

Definite Integration

5 Lectures
Tutorialspoint

Properties of Definite Integral

9 Lectures
Tutorialspoint

Limit of Sum

4 Lectures
Tutorialspoint

Miscellaneous Problems Integrals

4 Lectures
Tutorialspoint

IIT JEE Questions on Integrals

4 Lectures
Tutorialspoint

Instructor Details

Tutorialspoint

Tutorialspoint

Simple and Easy Learning


Tutorials Point originated from the idea that there exists a class of readers who respond better to online content and prefer to learn new skills at their own pace from the comforts of their drawing rooms.

The journey commenced with a single tutorial on HTML in 2006 and elated by the response it generated, we worked our way to adding fresh tutorials to our repository which now proudly flaunts a wealth of tutorials and allied articles on topics ranging from programming languages to web designing to academics and much more.

40 million readers read 100 million pages every month

Our Text Library Content and resources are freely available and we prefer to keep it that way to encourage our readers acquire as many skills as they would like to. We don't force our readers to sign up with us or submit their details either to use our Free Text Tutorials Library. No preconditions and no impediments, Just Simply Easy Learning!

We have established a Digital Content Marketplace to sell Video Courses and eBooks at a very nominal cost. You will have to register with us to avail these premium services.

Course Certificate

Use your certificate to make a career change or to advance in your current career.

sample Tutorialspoint certificate

Our students work
with the Best

Feedbacks

Vignesh Senthil kumar

Vignesh Senthil kumar

your method of teaching is amazing.

Related Video Courses

View More

Annual Membership

Become a valued member of Tutorials Point and enjoy unlimited access to our vast library of top-rated Video Courses

Subscribe now
Annual Membership

Online Certifications

Master prominent technologies at full length and become a valued certified professional.

Explore Now
Online Certifications

Talk to us

1800-202-0515