Mathematics
Indefinite Integrals: Antiderivatives and Standard Forms
Master indefinite integration with standard formulas, antiderivatives, and integration techniques for JEE Main and Advanced
Calculus
Mathematics
Introduction to Limits
Master the concept of limits with intuitive examples, evaluation techniques, and JEE problem-solving strategies for calculus.
Mathematics
Advanced Integration Techniques: Substitution, By Parts, and Partial Fractions
Master substitution method, integration by parts using LIATE rule, and partial fractions for JEE Main and Advanced
Mathematics
Standard Limits & L'Hôpital's Rule
Master essential standard limits formulas including sin x/x, exponential, logarithmic limits, and L'Hôpital's Rule for JEE.
Mathematics
Trigonometric Integration: Advanced Techniques Using Identities
Master integration of trigonometric functions using identities, power reduction, and special transformations for JEE
Mathematics
Continuity of Functions
Master continuity, types of discontinuity, and theorems like IVT and MVT for JEE Main and Advanced calculus.
Mathematics
Definite Integrals: Fundamental Theorem and Properties
Master definite integration, fundamental theorem of calculus, and powerful properties for JEE Main and Advanced
Mathematics
Differentiability & Derivatives
Master differentiability, LHD/RHD concepts, and the relationship between continuity and differentiability for JEE.
Mathematics
Applications of Integrals: Area Under Curves and Beyond
Master finding areas under curves, between curves, and using integrals for real-world applications in JEE
Mathematics
Rules of Differentiation
Master product rule, quotient rule, chain rule, and advanced differentiation techniques for JEE calculus problems.
Mathematics
Applications of Derivatives
Master maxima, minima, monotonicity, tangents, normals, and rate of change problems for JEE using derivatives.
Mathematics
Implicit Differentiation & Parametric Forms
Master implicit differentiation, parametric equations, and advanced differentiation techniques for JEE calculus.
Mathematics
Higher Order Derivatives
Master second derivatives, nth derivatives, and their applications in JEE calculus problems.
Mathematics
Limits, Continuity and Differentiability
Master calculus fundamentals - limits, continuity, and differentiation for JEE Mathematics.
Mathematics
Maxima and Minima - Optimization Problems
Master finding local and global extrema, optimization techniques, and the second derivative test for JEE.
Mathematics
Integral Calculus
Master integration techniques, definite integrals, and area under curves for JEE Mathematics.
Mathematics
Mean Value Theorems - Rolle's, Lagrange, L'Hospital
Master Rolle's theorem, Lagrange's MVT, Cauchy's MVT, and L'Hospital's rule for JEE calculus.
Mathematics
Differential Equations
Master ordinary differential equations, order, degree, and solution methods for JEE Mathematics.
Mathematics
Curve Sketching - Monotonicity, Concavity, Asymptotes
Master curve sketching using derivatives, analyze monotonicity, concavity, inflection points, and asymptotes for JEE.