Calculus 2 Fundamentals - Indefinite Integrals

Tanmay Varshney, Software Developer, Math Tutor

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26 Videos (3h 3m)
    • Introduction to Indefinite Integrals

      1:52
    • 01 Anti derivative

      5:12
    • 02 Concept of Integration

      6:35
    • 03 Notation of Integration

      1:56
    • 04 Constant of Integration

      4:57
    • 05 Power rule of Integration

      5:27
    • 06 Sum Rule of Integration

      2:58
    • 07 Constant Coefficient Rule

      2:59
    • 08 Linearity in Integration

      4:58
    • 09 Inverse Trigonometric functions part 1

      3:48
    • 10 Inverse trigonometry Part 2

      4:53
    • 11 Integration of Common Functions

      6:16
    • 12 Substitution Rule

      6:07
    • 13 Substitution Rule - Examples

      8:46
    • 14 Integration of Rational Functions

      12:27
    • 15 Integration of Rational Functions - Example

      12:17
    • 16 Integration of Irrational functions

      3:44
    • 17 Integration of Irrational functions - Examples

      10:08
    • 18 Integration using trigonometric identities

      4:09
    • 19 Integration using Trigonometric identities - Example

      13:25
    • 20 Integration of Special functions - Part 1

      6:09
    • 21 Integration of Special functions - Part 2

      6:41
    • 22 Integration by parts

      6:27
    • 23 Integration by parts - Example

      6:43
    • 24 Miscellaneous Examples - Part 1

      17:00
    • 25 Miscellaneous Examples - Part 2

      17:06

About This Class

About this course:

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

You will crush the basics of The Indefinite Integral in this series.

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 integral in an exhaustive manner.

This course is categorized into:

  1. Video lectures covering the core concepts of Indefinite integral calculus and varied examples.

  2. Miscellaneous Examples to crush the basics even further.

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

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Tanmay Varshney

Software Developer, Math Tutor

I am working as a Software Developer. I am a Math Enthusiast too. I have been graduated in Computer Science (Major) along with Mathematics (Minor). During my experience in IT industry and graduation, I found out that Mathematics plays a pivotal role whether it is algorithmic coding or solving business related and real life complex problems. So, I am really passionate about sharing my knowledge in Mathematics to anybody who has a desire to learn and apply their Math Knowledge in numerous field...

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