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JEE Advanced Application of Integrals Important Questions

Last updated date: 29th May 2024
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JEE Advanced Important Questions of Application of Integrals

The JEE Advanced, formerly known as IIT JEE , is the second phase of the JEE examinations. The candidates appear for this exam after they have completed their JEE Mains examinations. These exams help the student get into the colleges and institutions of their desire. Most students wish to get into IITs, but in order to get a seat in these institutions, the candidates are expected to attain high ranks in their competitive exams. 

The JEE Advanced exams are wholly computer-based and are usually conducted by the IITs. IIT Kharagpur, IIT Bombay, IIT Roorkee, IIT Madras, IIT Kanpur, IIT Delhi and IIT Guwahati.


JEE Advanced Important Questions


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JEE Advanced

Chapter Name:

Application of Integrals

Academic Session:



English Medium



Available Material:

Chapter-wise Important Questions with PDF

JEE Advanced Important Questions of Application of Integrals

A number of methods are used in calculations. Some of these are functions, differentiation, and integration. Among these, the use and application of integrals is not just limited to the field of mathematics. The application of integrals also finds its use in the subjects concerning science and engineering. This is because, in order to calculate the area, one needs to make use of the integral formulas. 

This article aims at providing the candidates with the relevant questions that will help the student in the preparation of their IIT Examinations. The website helps and guides the student in every step of their preparation process and makes sure that the candidate does not lack behind on anything. The aspirants can simply download the pdfs of the question papers and utilize it to improve their skills and knowledge. 

Cracking JEE Advanced is more difficult than the JEE Main exam. But the syllabus remains the same for both the exams. Even the JEE Advanced syllabus includes a huge portion of the CBSE Class 11th and 12th syllabus. So, it is easier for CBSE students to prepare for the Joint Entrance exams.

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Don't miss your chance to ace your JEE Advanced Maths Application of Integrals exam. Download our JEE Advanced Maths Application of Integrals practice paper today and start practicing! With targeted questions and in-depth solutions, you'll be well on your way to success.

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Application of Integrals Important Questions for JEE Advanced

Speaking of the JEE Advanced syllabus, Calculus is a crucial segment in the Mathematics syllabus. You will find nearly 40% of the questions are asked from this segment in the Joint Entrance Question Paper. Integrals is one of the main chapters of Calculus. You will definitely get around 4 questions from the Integrals in the examination. Here are the subtopics of the unit named Integral are given in the following for your convenience.

Sl. No



Indefinite integral


Definite integral


Integration using partial fractions


Integration by parts


Properties of definite integral

We, at Vedantu, have provided you with the best quality study materials such as JEE Advanced Important Questions of Application of Integrals for better exam preparation. These important questions have been picked by our highly qualified subject matter experts, who have years of experience in the relevant field. These questions are handpicked carefully and the solutions are also written in a clear and concise manner, which are also provided alongside the important questions. You can download the PDF files of the important questions anytime at absolutely free of cost. All you need to do is just hit the download button and solve the questions if you are willing to score high in JEE Advanced exam

FAQs on JEE Advanced Application of Integrals Important Questions

1. Where to access the important questions for Advanced applications of integrals?

The important questions for the Advanced application of integrals can be downloaded easily from the website of vedantu for free . the candidates can save these in the pdf format and even utilize it offline. The website of vedantu makes sure that all the materials are updated and revised time and again so that the students are not left behind on anything. A practice of these important questions will help the students immensely in the preparation of exams. This is because it will provide them with an insight into the question paper pattern and the marking scheme. It will also help them realize their areas of strengths and weaknesses. 

2. Is application of Integrals Chapter important for JEE ?

Yes, the topic the Application of Engineering is very important not just for the JEE advanced examinations, but also for those students who plan on taking up engineering as their course for undergraduate. The candidates can expect 3-4 questions directly from this particular topic. The approximate weightage of this chapter is accounted to be 12 marks. It is evident that every question plays a very vital part in increasing the marks of the candidates. Therefore to be able to solve questions asked from this particular chapter, the student will have to prepare thoroughly and effectively. Only then the candidate will be able to answer the questions without losing their marks. 

3. What is an integral?

An integral refers to a given function which is derivative. Its main use is to find out the area covered by the two dimensional regions. It is also applicable to find out the volumes covered by three dimensional objects. Thus, one needs to remember that finding an integral function of x refers  to the finding of the area of the X-axis from the curve. An integral is also referred to as the antiderivative. This is because it reverses the process associated with differentiation. To access more such information about the given topic, the student can visit the website of vedantu and get their hands on the important questions designed for the JEE advanced examinations. 

4. What are the applications of integrals?

Integrals are used not just in mathematics, but they also find their application in physics. Its application in maths is as follows;

  • It is used to find out the center of mass of a given area that has curved sides. 

  • The integrals also finds is application to find out the area between two given curves

  • Integrals also help to find out the area under a curve.

  • An understanding of integrals will help one to find out the average value of a given curve. 

For more information on this topic the students should visit the website of vedantu and practice all the given important questions. These can be downloaded easily in the pdf format. 

5. What are the types of integrals?

There are two different types of integrals;

DEFINITE INTEGRALS: the definite integrals are defined as an integral containing definite limits, upper limit and lower limit. These are also called Riemann integrals. 

INDEFINITE INTEGRALS: the indefinite integrals are those who don't have a defined upper and lower limits. 

The students can access all the important questions from the website of vedantu. These will help the student understand the concepts and the topics in a better light.