2019 undergrad from IIT Guwahati. Have qualified NTSE, KVPY, multiple Olympiads... Wrote CSE mains 2020.

Utkarsh Ujjwal

This is the second part of the topic Definite Integrals. Here, all the tools required to evaluate Definite Integrals is discussed in detail. Topics like evaluation by substitution, by estimation if Integrals, Leibniz Integral rule etc are covered here. Also all the questions asked from this topic asked in JEE advanced 2016 are solved with explanation.

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

English

Mathematics Class 12 for IIT-JEE - Methods to Evaluate Definite Integrals (Part 2)

JEE (Joint Entrance Examination) Preparation

Mathematics

Indefinite Integration

Calculus

IITJEE, NEET UG and Foundation

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Test Preparation

Here, Utkarsh has discussed the method of substitution. He has also shown, by an example how to choose the substituting variable for better simplification of the Integral.

Evaluation of Definite Integrals by Method of Substitution

This lesson deals with the topic 'Leibniz Integral rule' or Differentiation under Integral sign. This is a very high yield topic from which questions are asked every year.

Leibniz Integral Rule (Differentiation Under Integration Sign)

Here, Utkarsh has discussed the methods that can be used to estimate the value of an integral in case evaluating the exact value becomes tedious.

Methods for Estimation of Definite Integrals

Here, Utkarsh has discussed how to convert an infinite summation into a Definite Integral and vice versa.

Definite Integrals as Limit of a Sum

Here, Utkarsh has solved some examples on the topic of conversion of limit of a sum into a Definite Integral.

Solved Examples on Evaluation of a Limit as Sum

Here, Utkarsh has discussed some important results that come in handy frequently when solving questions on Definite Integrals.

Results to Remember for Evaluating Definite Integrals

Here, Utkarsh has discussed some problems involving the concepts of everything that has been taught in this course so far.

Concept Booster Solved Examples

In this lesson, Utkarsh has comprehensively analysed the IIT JEE Advanced 2016 question paper and has solved all the questions asked from this topic.

Comprehensive Analysis of IIT JEE Advanced 2016 (Solutions)

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

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 course contains all the previousyour questions with detailed explanation and more than one method or tricks ( short cut), students can revise in short time by doing this volume

(Hindi) Indefinite integration Volume 4: Previous Year Questions from 1978 to 2018

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

(Hindi) IIT JEE: Indefinite Integration Volume 2

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

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

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

8 lessons • 1h 26m

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Evaluation of Definite Integrals by Method of Substitution

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Leibniz Integral Rule (Differentiation Under Integration Sign)

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Methods for Estimation of Definite Integrals

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Definite Integrals as Limit of a Sum

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Solved Examples on Evaluation of a Limit as Sum

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Results to Remember for Evaluating Definite Integrals

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Concept Booster Solved Examples

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Comprehensive Analysis of IIT JEE Advanced 2016 (Solutions)