An IIT-Delhi alumnus, mentor to top AIRs like 12 & 24, a specialist in Calculus, former faculty at Bansal Classes, Vibrant Academy & Etoos.

Manoj Chauhan

This is a Complete definite integration along with lots of different types of problems for JEE advance, All topics covered like properties (king queen and Jack), Leibnitz, walli's , Gamma function.

IIT JEE 2020 and 2021 Main and Advanced exam preparation. Know about detailed syllabus, best books, exam pattern and dates. Cover previous year question papers and book solutions from great educators.

IIT JEE

JEE Main and Advanced Preparation

Hindi

(Hindi) Definite Integration : IIT JEE

Indefinite Integration

Calculus

Mathematics

IITJEE, NEET UG and Foundation

Ace the toughest competitive and government exams in India 

Test Preparation

Introduction to definite integration, contents

Introduction to Definite Integration by Manoj Chauhan, Contents, How to Benefit Maximum (in Hindi)

Integration as a limit of sum, formula, illustrations, important inequality

Definite Integration as Limit of Sum (in Hindi)

Understanding value of definite integration, nett area, positive negative, very important note

Understanding Definite Integration Meaning, Positive Negative (in Hindi)

Substitution, things to keep in mind, questions, nett area by definite integration

Important Question, How to Substitute (in Hindi)

Questions easy level for substitution, mistakes in substitution

Questions, Mistakes in Substitution (in Hindi)

Average questions by two methods, to substitute or not, adding, subtracting 2 integration when limit is same

Average questions on definite integration

Evaluating gamma function, some average questions, terminologies in definite integration ( for limits)

Gamma function, average questions, some terminologies

Important questions, general substitution, importance of indefinite integration

Important Questions before starting properties

Adding two integrations, simple question, simple manipulations shortcuts, things to remember

Adding 2 integration with same limit, simple illustrations

Standard results, illustrations, take limit inside if independent variables, limit of differential

Standard results, illustrations

Properties of definite integration, important illustrations, discontinuities involved

Properties, ways to increase speed, illustrations

Questions involving greatest integer of x, trick to solve, finding range then breaking

Questions on GIF, fractional part

Tough questions on greatest integer function involving ITF, opening of greatest integer of x, range of functions

Questions on GIF continued, TOUGH questions

Property,Odd function, Even function, illustrations, geometrical explanation for result, important odd functions, even functions

Property, odd function, even function

Questions on odd and even functions, determinant involved, derivative of odd is even

Questions on property of odd and even function

KING rule proof, when and how to apply, Illustrations, denominator remain same

KING Rule, the Ultimate weapon!

Questions on King rule, important Questions, important step is KING and ADD

Questions on King rule, lots of application

Queen rule, proof, geometry of functional rule, simple illustrations involving both king and queen rule, repeated use of Queen rule

Queen rule, Proof and simple application

Questions based on using both properties of king and queen, remember important formulas of indefinite integration

Questions involving both king and queen rule

Important result to remember based on both king and queen rule, Questions involving this result. By parts involved

Important result based upon QUEEN rule, illustrations

Jack, property based on periodicity of function, proof, different results, remembering periodic function, questions based on the property

Jack rule, periodic functions, proof

Jack rule, Questions, use of Properties, Important point, origin shifting, average illustrations, functional rule to determine period of a function

Questions on Jack rule

Jack rule, tough questions, range and period of difficult functions

Jack rule, More Questions

Leibnitz rule for differentiating function in the form of a definite integration, proof, trick to remember, questions, question on limit, l'hospital rule

Leibnitz rule, Differentiation of Integration

Questions on Leibnitz rule, L'hospital rule, in determinant form of 0 by 0

Questions on Leibnitz rule, L'HOPITAL rule

Question on Leibnitz rule, Maxima minima increasing decreasing, sign change of derivative to determine Maxima or minima

Estimation of a definite integration, mostly (:D) for non integrable function,

Simple estimation of definite integration, using results derived

Simple question based on approximation

How to estimate the value of a function in a neighbourhood, then integrate it to estimate/ approximate, important rule ( you can also think yourself some other way)

Good questions on estimation

Estimation of definite integration, important questions, two methods to solve a question appeared in IIT JEE, how to guess a function very close to a given function which is integrable, thought process

Guessing functions, approximate value of integration

Integration as limit of sum, series questions, how to replace and what to replace by what, some very basic questions, comparison with area under the curve

Integration as a limit of sum ( series Problem)

Questions on integration as a limit of sum, very similar question to the question which appeared in IIT JEE in 2018 (advance), how to take log and then find value

Very tough questions on integration as a limit of sum

Reduction rule, type of questions, some questions related to progressions,important questions in which we have to subtract two integrations, apply by parts

Reduction rule

Reduction rule Walli's, proof ( very lengthy) ,remember the formula, complete derivation

Walli's formula, important reduction

Questions related to Walli's, second method to solve such questions using reduction rule

Question on Walli's rule

Integrating and differentiating series, question on partial differentiation when  "a"is a parameter

Series, Partial derivative Questions

Series problem on definite integration of a non integrable bounded function which can be asked in IIT JEE indirectly, in terms of Alpha

Another series Problem, non-integrable functions

The course covers all the aspects related to area under the curve for IIT JEE mains and advanced add other engineering colleges, curve sketching,integration as area under the curve, Lots of solved examples (variety of Problems)

(Hindi) Area under the Curve (Lectures)

The courses is in continuation with indefinite integration volume 1, integration by substitution and integration by parts

(Hindi) IIT JEE: Indefinite Integration Volume 2

A game-changer in Mathematics, produced 100 percentilers multiple times, AIR 33 & 34 (Mains 2024), his courses are the Benchmark for IIT JEE

Vineet Loomba

This course explains the concepts of indefinite integration from basics to Advanced level with special focus on IIT Aspirants. In Chapter Solved Examples and Previous Year questions have been covered in this course

(Hindi) Indefinite Integration Made Easy

The course contains 1) integration by parts 2) related concepts and illustrations 3) working rule and short tricks

(Hindi) Indefinite Integration Volume 3 by MC Sir

20+ years of Experience in Teaching Mathematics. Mentored 50,000+ students. Produced 100/100 score in Maths.


Vishal Mahajan

Indefinite Integration is covered in this course

(Hindi) Indefinite Integration: IIT JEE

Maxima minima is very important chapter,it helps to  revise all the concept of differentiation and monotonicity and important geometrical applications, All all the concepts related to it covered in this volume

Lessons

39 lessons • 8h 6m

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Introduction to Definite Integration by Manoj Chauhan, Contents, How to Benefit Maximum (in Hindi)

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Definite Integration as Limit of Sum (in Hindi)

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Understanding Definite Integration Meaning, Positive Negative (in Hindi)

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Important Question, How to Substitute (in Hindi)

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Questions, Mistakes in Substitution (in Hindi)

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Average questions on definite integration

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Gamma function, average questions, some terminologies

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Important Questions before starting properties

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Adding 2 integration with same limit, simple illustrations

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Standard results, illustrations

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