Integral Calculus for Physicists

Indefinite and Definite Integrals

What you'll learn
Understand integration as reverse operation of differentiation
Understanding integration by substitution and integration by parts
understand definite integrals and their techniques
understand the geometrical meaning of integration and how integration and differentiation are reverse operations (Fundamental theorem of calculus))
Requirements
Differential Calculus is a must. A good knowledge of trigonometry and basics of coordinate geometry
Description
I have made this course in such a way that you can easily understand integration and how to solve integrals., We begin by looking at integration as reverse operation of differentiation. You will be introduced the symbol of integration and how can you write using this symbol all formulae of integration from differentiation. The role of integration constant is told in the simplest possible way. This is followed by some basic properties of integrals and then you are introduced to techniques of integration. I have focused on two main techniques mainly integration by substitution and integration by parts. I have done lots of problems to instill confidence in you. Finally I have introduced Definite Integrals, the role of limits (upper and lower), finding area using integration, integration as Riemman sum and at last the fundamental theorem of calculus. Every discussion is followed by relevant illustrations. I have also dealt in these lectures , properties of definite integrals with the help of which some problems can be solved in much easier ways, Sufficient number of such questions are discussed in the lectures. Finally the proof that i gave as fundamental theorem is a very simple one stripped of all complicated mathematical rigors.

Who this course is for:
Any adult interested in physics and wanting to learn it feom calculus perspective
All students above 18 years
Parents whose children are below 18 years but preparing for competitive exams like JEE and NEET