Calculus for JEE Advanced Preparation: Check important tips to prepare
Joint Entrance Exam - Advanced 2026 ( JEE Advanced )
Registration - 6 Apr '26 - 2 May '26
Read the article below to check important tips for effective preparation of Calculus from JEE Advanced point of view.
Calculus is one of the most important chapters in Mathematics. It is an important section in mathematics due to its vastness and also the weightage that is given to it in JEE question paper. Around 35% to 40% of the JEE Advanced exam paper comprises Calculus. Due to such a huge weightage given to Calculus in JEE, for a serious IIT aspirant, it becomes mandatory to study this topic seriously to gain a good command over it for scoring high in JEE mathematics.
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The topics which are covered under the Calculus section are Functions, Inverse Trigonometric Functions, Limits, Continuity, Differentiability, Methods of Differentiation, Indefinite Integration, Definite Integrals, Application of Derivatives, Area under Curves and Differential Equations.
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Once you are comfortable with this topic, your path to JEE becomes quite easier as you can score good marks in it. All you need is a good grasp of concepts and practice questions. Those who are confident in it give less time to this during revision saving time for other subjects.
You can prepare for all entrance tests at same time. It is a tough task but not impossible. For this a proper strategy is required. Here are some important tips.
- Compare the syllabus: All engineering entrance exams have almost the same syllabus. There might be some additional topics in some exams. The aspirant must study the syllabus for all exams and find out the topics that are extra, and prepare those separately. Almost 90% of the topics will be common for all entrance exams, and hence, syllabus completion for one exam will lead to completion of the syllabus for all the exams.
- Prepare for JEE Mains and incorporate the preparation for all other exams: Apart from JEE Advanced, all the exams are pretty straightforward for a well-prepared candidate. JEE Advanced require a higher level of preparation as the questions are multi-conceptual. However, the state-level entrance exams, and exams like BITSAT, VITEEE, etc., have direct questions. Most of the questions in JEE Mains are also direct and require the application of basic concepts. Hence, the candidates must prepare for one exam, like JEE Mains, that will cover their preparation for all other exams.
- JEE Advanced needs extra effort: For JEE Advanced candidates must focus on time management and building exam day temperament. Learn how to apply multiple concepts to a question.
The bottom line is to prepare for JEE Mains to cover the preparation for all other CETs and exams like BITSAT and VITEEE. For JEE Advanced, work on sharpening your skills of time management, stress handling, multiple concept application, speed and accuracy.
So far no student has ever scored full marks in JEE Advanced signifies exam's difficulty level. Highest marks one has achieved to date in JEE Advanced are 355 marks out of 360. Ved Lahoti scored these marks in 2024.
How to study Calculus?
Functions
This is where you learn the fundamentals. Learn to find the domain, range, plotting graphs of different functions. Learn about knowing injection, surjection, bijection of different functions. Study this chapter well. You can make silly mistakes in this chapter. Read the questions carefully, see the given range and domain carefully while determining whether it is one-one onto or not. Be careful sometimes like having a negative number under square root or a number divisible by zero.
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You will also learn about Inverse Trigonometric Functions. Remember the properties by heart. Learn about their sign in different quadrants and their graphs.
Limits
This is one of the easiest chapters yet very important as you will find questions related to limit throughout the entire calculus. Learn about the series expansion and sandwich theorem as they come in handy sometimes. L’Hopital’s rule is very important. You might also give a try to series expansion. It is advisable to remember the exponential and logarithmic series.
Questions from this chapter are usually straightforward. You just have to figure out the zero by zero form or the infinity by infinity form and apply L'Hopital's rule. Practice questions related to it and you will be able to find limits of almost any question
There is no seperate rank list released for JEE Advanced. The rank of the candidates in All India category and in the respective category of the candidate is meantioned on the result itslef.
As per the analysis of the previous year data, the candidates belonging to general category must aim to score around 180 marks out of 360 to qualify the exam. However, note that this marks will not get you a good rank and hence tier 1 IITs (IIT B, IIT M, IIT D) and courses will be out of reach.
| Name of Institute | NIRF Ranking 2025 |
|---|---|
| IIT Madras | 1 |
| IIT Delhi | 2 |
| IIT Bombay | 3 |
| IIT Kanpur | 4 |
| IIT Kharagpur | 5 |
| IIT Roorkee | 6 |
| IIT Hyderabad | 7 |
| IIT Guwahati | 8 |
| IIT BHU | 10 |
Continuity and Differentiability
If you have studied functions properly then you will find this chapter very easy. This chapter can be solved if you are accurate and quick at drawing graphs of functions. Few problems of continuity require graph drawing. Learn intermediate value theorem. In differentiation, just remember the formulas. Learn the formulas of differentiation - quotient rule, product rule, chain rule, differentiation of exponential and logarithmic functions, higher-order derivatives. Practice a few questions to get comfortable with it.
Integration and Definite integrals
One of the most important topics in calculus. There is a good number of questions on this topic. You have to remember the standard formulas of Integration and practice a lot of questions. You will find a variety of questions. You will be comfortable once you have practised sufficient problems. Learn how to use integration by parts, partial fraction method, substitution method, Newton Leibnitz formula. Most questions will be based on the properties of definite integrals Learn few tricks like solving any question by differentiating both sides. Practice a lot and you will love this topic.
Once you are good with definite integrals, another chapter Area under the curves will be very easy for you as it requires you to draw the graph of the given function and evaluate the integral between the given limit.
Application of Derivatives
Again, one of the most important topics. There will be a good number of questions from this chapter. You will have to remember few formulas like a tangent, normal, sub- tangent, subnormal. Learn about monotonicity, finding minima/maxima. Using the second derivative test is important sometimes Rolle's theorem, Lagrange's mean value theorem, the concept of maxima-minima, increasing and decreasing functions, inflexion points, etc are extremely important. This is a beautiful chapter and you will not face much difficulty if you have done your previous studies properly. You can score good marks in this topic.
Differential Equations
After learning the tougher topics earlier, when you will study this, you will find this chapter relatively easy. There are few formulas in this chapter like finding first-order Differential Equations and Bernoulli’s equation. Practice a few questions from this.
The weightage of Differential Equations in the JEE paper varies hugely. Also, this is the topic that you will also encounter during your engineering studies in college. So make sure to gain a good command of this topic. Doing so will not only help you in JEE but also in college.
To get confidence in Mathematics, practice is a must. However, this portion is so vast that you might miss out on some concepts after some time. Practice as many number of problems the application of derivatives and definite integrals. So, revise this part regularly and practice the standard problems. In the end, this will be one of the easiest and scoring topics. All the best.
About the Author:
Aman Goel is a co-founder at a Tech Start-up. He holds a BTech in Computer Science Engineering from IIT Bombay with a JEE Advanced AIR 33 (Year 2013).
During his free time, he enjoys writing articles/blogs. He is an Entrepreneur, Coder, Speed-cuber, gamer, and fan of Air crash investigation!
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Anything you would want to ask experts?Answered 2 weeks ago
JEE Advanced registration fee for IIT Kanpur BTech varies by category and nationality. Indian female, SC, ST, and PwD candidates need to pay INR 1600, while other Indian candidates pay INR 3200. Fees for OCI/PIO and foreign nationals depend on exam centre location and country category.
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Contributor-Level 10
Answered 2 weeks ago
JEE (Advanced) exam is the qualifying test for admission to IIT Kanpur BTech. This will be held on Sunday, May 17, and only candidates who clear this exam are eligible for the JoSAA counselling process.
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Contributor-Level 10
Answered 3 weeks ago
No, candidates can not raise objections in JEE Adv result. The facility to raise objection is provided only in the answer key. It is clearly mentioned in the IIT JEE advanced 2026 information brochure that any request to re-evaluate in result will not be entertained under any circumstances.
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Contributor-Level 10
Answered 3 weeks ago
The number of questions in each subjects are generally not same, but the total number of questions mostly ranges from 17 to 18 across all three subjects in both Paper 1 and 2. The number of questions will also be different for each type (MCQ, Matching, Single/Multi correct) within the subjects in pa
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Contributor-Level 10
Answered 3 weeks ago
No, same questions never get repeated in IIT JEE exam. However, questions with similar concepts can find places in the exam. The question paper of JEE Advanced is prepared considering the syllabus and exam pattern.
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Contributor-Level 10
Answered 4 weeks ago
You will not be eligible for admission as preparatory ranks are not considered under round 1. Since you have already qualified to appear for JEE (Advanced), all you need to do is meet the second criterion and apply for round 2, which will be only conducted if seats from round 1 remain vacant.
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Answered 4 weeks ago
Yes, you can still get admission in Round 2 if you meet eligibility criteria to appear in JEE (Advanced) and have a valid JEE (Mains) rank. Also, you must have scored 60% or above in class 12th. For SC/ST/PwD category students, 55% or above is required.
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Contributor-Level 10
Answered 4 weeks ago
No, candidates need not pay any fees to participate in JEE Adv counselling. However, once the seat is allotted, candidates will need to pay approximately INR 35,000 (less for reserved category) as a seat acceptance fee and around INR 20,000 as partial admission fees. Both these payments are adjusted
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Contributor-Level 10
Answered 4 weeks ago
To participate in JEE Advanced counselling, candidates must keep the following documents ready.
- JoSAA Seat Allotment Letter
- Admit card of JEE Advanced 2026
- Proof of Date of Birth Class 12/HSC/Birth Certificate/Any other certificate as proof of date of birth
- Photo ID card
- Class 12/SSC/Equivalent exam Mark
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Contributor-Level 10
Answered a month ago
No, candidates have to carry the printout of their JEE Advanced admit card downloaded from the website to appear in the exam. Soft copies will not be accepted.
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Contributor-Level 10
Preparation for JEE Advanced begins by knowing exam syllabus. Every student must follow syllabus. Once preparation is done then start solving previous year questions for self-assessment. This will give an overview of your preparation.