3.67 out of 5
3.67
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Calculus 2 Fundamentals

Learn and Master the Integral Calculus concepts
Instructor:
Tanmay Varshney
731 students enrolled
Indefinite Integrals - The concept, the power rule, the sum rule, linearity rule, substitution rule, integration by parts, integration of rational & irrational functions, integration of some common & special functions.
Definite Integrals - The concept, Riemann sum, fundamental theorem of calculus, substitution rule, the famous properties of definite integrals.
A lot of practice examples and quizzes along with exposure to miscellaneous problems useful in competitive exams also.
After taking this course, you will be prepared to kick start Calculus 3.

Visit our website GyaanX and signup for the course and get a chance to win gift cards in our monthly lucky draw.

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About this course:

This course focuses on all the fundamental concepts of Integral calculus.

Firstly, you will crush the basics of The Indefinite Integral and then will apply them to learn and master The Definite Integral.

After completing this course, you will be thoroughly prepared to learn the applications of integration like finding the area under the curve, calculating arc length, the surface area of complex functions and many more.


What is Integral Calculus?

Integral Calculus or integration is all about joining smaller pieces to find the total. 

It is actually the opposite of Differential Calculus.


Practical Applications: 

Integral Calculus has numerous applications in fields of:

  1. Physics: to calculate the center of mass, center of gravity, moment of inertia etc

  2. Chemistry: to determine the rate of a chemical reaction

  3. Medical Sciences

  4. Modelling Electronic Circuits 

  5. Predicting Stock Market prices and many more

Hence, it is everywhere.

Course content:

This course has been designed for you to cover all the topics of the Indefinite and Definite integral in an exhaustive manner.

This course is categorized into:

  1. 35+ video lectures covering the core concepts of integral calculus and varied examples.

  2. Miscellaneous Examples to crush the basics even further.

  3. Quizzes to boost your understanding.

  4. Quiz Solutions to help you analyze your solutions in the quizzes

  5. Revision at a glance for a quick re-visit to the concepts and formulae discussed in the course.

  6. Practice Worksheets to let you crush the learned concepts even further

  7. Appendix section for all the formulae, graphs, identities, notations and theorems used throughout the course.

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Indefinite Integrals

1
Introduction
2
Meaning of ‘Antiderivative’
3
The Concept of Integration
4
Notations in Integration
5
The Constant of Integration
6
The Power Rule
7
Quiz - 1
8
The Sum Rule
9
The Constant Factor Rule
10
Linearity in Integration
11
Quiz - 2
12
The Inverse Trigonometric functions
13
The Inverse Trigonometric functions in Integrals
14
Integrals of common functions in Calculus
15
Quiz - 3
16
The Substitution Rule
17
The Substitution Rule - Examples
18
Integration of Rational functions
19
Integration of Rational functions - Examples
20
Integration of Irrational functions
21
Integration of Irrational functions-Examples
22
Quiz - 4
23
Integration using Trigonometric Identities
24
Integration using Trigonometric Identities - Examples
25
Integration of Special functions - Part 1
26
Integration of Special functions - Part 2
27
Integration by Parts - The Proof
28
Integration by Parts - Examples
29
Quiz - 5
30
Miscellaneous Examples - I
31
Miscellaneous Examples - II
32
Integrals of some more types
33
Revision At A Glance

Definite Integrals

1
Introduction
2
The Concept of Definite Integral
3
Definite Integral as the limit of Riemann Sum
4
Fundamental Theorem of Calculus
5
Fundamental Theorem of Calculus - Examples
6
Quiz - 6
7
Evaluation by the Substitution Rule
8
Evaluation by the Substitution Rule - Examples
9
Properties of Definite Integrals - Part 1
10
Properties of Definite Integrals - Part 2
11
Properties of Definite Integrals - Examples
12
Quiz - 7
13
Miscellaneous Examples - 1
14
Miscellaneous Examples - 2
15
Revision At A Glance

Practice Worksheets

1
Practice Worksheet 1
2
Practice Worksheet 2

Appendix

1
Appendix
2
Quiz 1 - Solution

Solution to questions of Quiz 1

3
Quiz 2 - Solution
4
Quiz 3 - Solution
5
Quiz 4 - Solution
6
Quiz 5 - Solution
7
Quiz 6 - Solution
8
Quiz 7 - Solution
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5 hours on-demand video
12 articles
Full lifetime access
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Certificate of Completion