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Multiple Solution Methods

Learn 2-3 different approaches to solve every problem. Find the method that works best for you.

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Step-by-Step Solutions

Every step explained in detail. Understand the logic behind each calculation and formula application.

Shortcuts & Tricks

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Concept Building

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Difficulty Progression

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Complete Mathematics Coverage

Algebra

  • ✓ Sets, Relations & Functions
  • ✓ Complex Numbers
  • ✓ Quadratic Equations
  • ✓ Sequences & Series
  • ✓ Permutations & Combinations
  • ✓ Binomial Theorem
  • ✓ Mathematical Induction
  • ✓ Matrices & Determinants

Calculus

  • ✓ Limits & Continuity
  • ✓ Differentiation
  • ✓ Applications of Derivatives
  • ✓ Maxima & Minima
  • ✓ Indefinite Integration
  • ✓ Definite Integration
  • ✓ Area Under Curves
  • ✓ Differential Equations

Coordinate Geometry

  • ✓ Straight Lines
  • ✓ Circles
  • ✓ Parabola
  • ✓ Ellipse
  • ✓ Hyperbola
  • ✓ 3D Geometry
  • ✓ Vector Algebra

Trigonometry

  • ✓ Trigonometric Ratios
  • ✓ Trigonometric Equations
  • ✓ Inverse Trigonometric Functions
  • ✓ Heights & Distances

Probability & Statistics

  • ✓ Probability Basics
  • ✓ Conditional Probability
  • ✓ Bayes' Theorem
  • ✓ Random Variables
  • ✓ Binomial Distribution
  • ✓ Statistics

Other Topics

  • ✓ Mathematical Reasoning
  • ✓ Linear Programming

See How AI Tutor Explains

Step-by-step solution with multiple methods

Sample Problem:

Find the value of: ∫(0 to π/2) sin²x dx

Method 1: Using Trigonometric Identity

Step 1: Use identity sin²x = (1 - cos2x)/2

Step 2: ∫sin²x dx = ∫(1 - cos2x)/2 dx

Step 3: = (1/2)∫(1 - cos2x) dx

Step 4: = (1/2)[x - (sin2x)/2] + C

Step 5: Apply limits 0 to π/2

Step 6: = (1/2)[(π/2 - 0) - (0 - 0)] = π/4

Method 2: Using Reduction Formula

Step 1: Use reduction formula for ∫sin^n x dx

Step 2: For n=2: ∫sin²x dx = (1/2)[x - sinx·cosx] + C

Step 3: Apply limits 0 to π/2

Step 4: = (1/2)[(π/2 - 0) - (0 - 0)] = π/4

Progressive Practice System

Master mathematics through structured practice

Level 1

Foundation

500+ basic problems to build strong fundamentals. Perfect for Class 11 and beginners.

  • ✓ Direct formula application
  • ✓ Single-step problems
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Level 2

Intermediate

1,000+ problems for JEE Main level. Multi-step solutions and moderate difficulty.

  • ✓ 2-3 step problems
  • ✓ Mixed concepts
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Level 3

Advanced

800+ challenging problems for JEE Advanced. Complex reasoning and problem-solving.

  • ✓ Multi-concept problems
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  • ✓ JEE Advanced level
Level 4

Expert

700+ olympiad level problems. For students aiming for top ranks and deep mastery.

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Quick Formula Reference

AI-generated personalized formula sheets for revision

Trigonometry

  • sin²θ + cos²θ = 1
  • tan²θ + 1 = sec²θ
  • cot²θ + 1 = cosec²θ
  • sin2θ = 2sinθcosθ
  • cos2θ = cos²θ - sin²θ

Calculus

  • d/dx(x^n) = nx^(n-1)
  • ∫x^n dx = x^(n+1)/(n+1) + C
  • d/dx(e^x) = e^x
  • d/dx(ln x) = 1/x
  • ∫e^x dx = e^x + C
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