Calculus for JEE Advanced Preparation: Check important tips to prepare
Joint Entrance Exam - Advanced 2026 ( JEE Advanced )
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.
| JEE Main Mock Test 2026 | JEE Main Question Papers |
| JEE Main 2026 Preparation Tips | JEE Main Syllabus 2026 |
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.
Explore colleges based on JEE Advanced
Want better recommendations?
There is a 90% more chance of getting best college recommendations by sharing preferences.
- Chat with our counselor
- Get your personalised list of colleges & exams matching your preferences
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.
Explore more B.Tech exams with upcoming dates
31 Oct '25 - 27 Nov '25
10 Dec '25
12 Dec '25
14 Dec '25
1 Jan '26
31 Dec '25 - 7 Jan '26
9 Nov '25
19 Sep '25 - 12 Nov '25
15 Nov '25
15 Oct '25 - 10 Jan '26
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.
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!
Read more:
- Analytical Geometry for JEE Advanced Exam Preparation
- Best Books for JEE Advanced Chemistry: A Comparison
- Algebra for JEE Advanced Exam Preparation
- Best books for JEE Advanced Physics: A Comparison
- Best books for JEE Advanced Mathematics: A comparison
- Most scoring topics in JEE Physics
- Most scoring topics in JEE Mathematics
- Most scoring topics in JEE Chemistry
- How To Handle Tough Topics in JEE Physics
- How To Handle Tough Topics in JEE Mathematics
- How To Handle Tough Topics in JEE Chemistry
News & Updates
Explore Other Exams
31 Oct '25 - 27 Nov '25 | JEE Main 2026 Registration Ses... |
Jan '26 | JEE Main Admit Card 2025 Sessi... |
3 Nov '25 - 16 Apr '26 | SRMJEEE 2026 Registration (Pha... |
3 Nov '25 - 4 Jun '26 | SRMJEEE 2026 Registration (Pha... |
Feb '26 | COMEDK application form 2026 |
May '26 | COMEDK exam date 2026 |
1 Oct '25 - 15 Mar '26 | MET 2026 application form - Ph... |
Mar '26 | MET 2026 application form - Ph... |
Jan '26 | BITSAT 2026 application form -... |
May '26 | BITSAT 2026 application form -... |
Feb '26 | TS EAMCET 2026 notification |
Mar '26 | TS EAMCET 2026 application for... |
Student Forum
Anything you would want to ask experts?Answered a week ago
Candidates should ideally try to solve at least 3 previous year JEE question papers per week. However, candidates can also increase the frequency of this to 5 to 6 papers per week, one month before the exam.
M
Contributor-Level 6
Answered 3 weeks ago
Well, becoming a rocket scientist is a long-term commitment, and it depends on your education path and goals It takes almost 5 to 6 years with a bachelor's and 8 to 12 years if you want to study higher. Here below is how long it usually takes:
- Bachelor's degree: You have to study aeronautical enginee
M
Beginner-Level 3
Answered 3 weeks ago
Who work on the rocket-propelled vehicles, they apply the principles of Mathematics, Physics, and Material Science to solve challenges related to these vehicles. Rocket Scientists are involved in the process of design and development of the vehicles such as small drones, satellites, and commercial a
L
Beginner-Level 2
Answered 3 weeks ago
Yes, this field is considered hard. It is complex and demands high precision. There can be extreme consequences for minor errors. The overall field is extremely challenging as it requires to apply the basic scientific principles to design and develop rockets. It requires sophisticated engineering wi
P
Beginner-Level 2
Answered 3 weeks ago
The following are the qualification which can help you to become a rocket scientist:
· Bachelor's Degree such as B.Tech/B.E can take up to four years to complete.
· You can do a two years Master's Degree M.Tech/M.E./M.S. after graduation.
· For advanced level study in this field, you
C
Beginner-Level 2
Answered 3 weeks ago
There can't be a straightforward answer to this question. The salary package differs as per the experience, location and employer. In India, one can expect somewhere between Rs 10 Lacs to Rs 43.5 Lacs annual salary. In US, it can range between $65,000 to $118,000.
Y
Beginner-Level 2
Answered 3 weeks ago
Well, that's great, as you are preparing for JEE Advanced Physics. From my research, I would like to recommend some of the books and resources that will help you learn the basics and understand the concept:
1. Concept of Physics (Vol 1 and 2) by H.C. Verma
2. Understanding Physics Series by D.C. Pande
M
Beginner-Level 3
Answered 2 months ago
- Candidates should have JEE Advanced rank.
- Candidates must have at least 75% aggregate marks in class 12 and SC, ST and PWD candidates must have atleast 65% marks.
- Candidates must be within the category wise top 25 percentile of successful candidates of their respective class 12 boards.
Y
Contributor-Level 6
Answered 2 months ago
No, your candidature will be rejected as you need to have minimum of 75% in class 12 to be eligible for admisison to the IITs, NIT, IIITs and GFTIs via the JoSAA counselling. Even if you pass JEE Advanced and JEE Main, of you do not have 75% minimum marks in class 12 boards you will no get admission
V
Contributor-Level 6
Answered 2 months ago
Devdutta Majhi was the female topper in JEE Advanced 2025. She has scored 312 marks out of 360 marks and got anm all India rank of 16.
A
Contributor-Level 6
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.