CALCULUS PYQs

JEE Calculus PYQs — limits to differential equations, fully solved

Limits, continuity, differentiability, integration, area under curves and differential equations — every Calculus PYQ from 25+ years of JEE Main and Advanced.

4,500+
Calculus PYQs
30–40%
Of JEE Maths
Theorems
On every solution
Free
Forever

Calculus decides the JEE Maths score — it's the largest cluster, the most pattern-driven, and the most rewarding for honest PYQ practice.

IITMentor's Calculus PYQ engine drills you through every topic from limits to differential equations with theorem reminders, substitution tricks and trap analysis on every solution.

WHY IT WORKS

Built to move your JEE rank — not just to look pretty

Limits & continuity PYQs

L'Hôpital, sandwich, expansion-series approaches — every variation solved.

Differentiation + AOD

Tangents, monotonicity, maxima-minima — every PYQ with second-derivative test.

Definite & indefinite integration

Substitution, partial fractions, king's rule, walls — solved.

Differential equations

Variable separable, linear, exact, Bernoulli — every PYQ tagged.

HOW TO USE

Get going in under 60 seconds

  1. 1

    Limits + continuity first

    Foundation for everything else — solve untimed, learn every approach.

  2. 2

    Definite integration tricks

    King's rule, even-odd, periodic — these shortcuts win 8–12 marks.

  3. 3

    Mock under timing

    Each Calculus PYQ should take 90–120 seconds in a real mock.

SAMPLES

A taste of what's inside

Limits — JEE Main 2024

lim x→0 (sin x − x) / x³. (Expansion approach, full step-by-step.)

Definite Int. — JEE Advanced 2023

∫₀^π x sin x / (1+cos²x) dx. (King's rule + substitution.)
LOVED BY ASPIRANTS

What students are saying

Calculus PYQs alone got me 60+ marks in JEE Main Maths.
Vivaan S.
JEE 2025
FAQ

Frequently asked

What does Calculus cover in JEE?

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Limits, continuity, differentiability, derivatives, application of derivatives, indefinite integration, definite integration, area under curves and differential equations.

How much weightage does Calculus carry in JEE?

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Calculus is the single highest-weightage cluster in JEE Maths — typically 30–40% of all Maths marks across JEE Main and Advanced.

What's the right order to learn Calculus for JEE?

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Limits → Continuity & Differentiability → Differentiation → Application of Derivatives → Indefinite Int. → Definite Int. → Area → Differential Equations. Solve PYQs after every chapter.

Are Calculus PYQ solutions step-by-step?

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Yes — every PYQ is solved with the underlying theorem, the substitution, and the common trap (limits of integration, sign of dx, etc.).

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