Updated on Jun, 2025
Language - English
Vignesh Senthil kumar
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Introduction to Integration: Online Course
This series is based on Integrals for class 12 students for board level and IIT JEE Mains
Teaching and Academics ,Math,Calculus
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.
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.
Curriculum
Check out the detailed breakdown of what’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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