Calculus lessons
107 videos • 1,134 views • by Chan Lye Lee
1
Exploring a Cambridge Admissions Problem: Integrating Function g and its inverse
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2
A nice method to calculate an integration
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3
Sum of squares of first n natural numbers: how to prove it?
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4
Most people get it wrong in this Limit question: An Intriguing Case of the Floor Function in Limits
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5
Common mistake in Integration
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6
AP Calculus AB 2018: 5 poorly done MCQ (non-GC)
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7
(Part 1) e hidden in Pascal's triangle
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8
AP Calculus AB 2018 Q11
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9
How to Solve a Cambridge Assessment Integral: Step-by-Step Solution
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10
Another common mistake in integration
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11
Common mistake when doing Integration
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12
Maximizing a Mathematical Expression with Inequality & Calculus!
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13
Bounding an Infinite Sum: Proof and Insights into \sum \frac{1}{\sqrt{n(n+1)}}
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14
It looks difficult but it is not
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15
Tricky Derivative Problem for beginners: The Puzzle of f prime
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16
Three methods to an interesting problem (differentiation, completing the square, AM-GM inequality)
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17
Sum of squares of first n natural numbers (part 2: algebraic proof)
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18
Calculus | Techniques in finding Limits (if exist) | Conjugates, one-sided limit
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19
Solving a Cambridge Admissions Problem: Differential Equations and Symmetry
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20
Maximizing a Complex Function: Calculus vs Cauchy-Schwarz Inequality
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21
I know the answer, but it is not intuitive!!! Integeral of sec(x)
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22
Functional Equations and Calculus: Solving f(x)f'(x).
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23
Optimization Using the Fundamental Theorem of Calculus | Minimizing Definite Integrals
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24
Solving Exponential Inequalities with Calculus and Cauchy-Schwarz Inequality
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25
How to Solve a Challenging Limit Problem – Step-by-Step Explanation
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26
Mastering the Hardest MCQ from AP Calculus AB: Finding a Limit with Cosine and Sine Functions
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27
Most people confuse about it
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28
Solving an Infinite Sum Using Limits, Riemann Sum, and Integration | Step-by-Step Explanation
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29
Three ways to an integration... different answers?
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30
Challenge my limit (use left hand to write on whiteboard and edit video)
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31
2019 Cambridge Problem: Integrating Function g and its inverse (Continued from previous video)
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32
Can you solve this tricky problem using 2 different methods?
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33
Bounding an Integral with the Schwarz Inequality | Cambridge Admissions Test 2017 Solution
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34
\lim_{x \to 1} x^{\frac{x}{\sin(1-x)}} | Step-by-Step Solution Using Limits and L'Hôpital's Rule
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35
Solving Limits Using the Riemann Sum | High School Calculus Problem
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36
Calculus Solution to Minimizing a Fractional Expression
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37
Unexpected technique to solve a nice and tricky inequality
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38
L'Hôpital's Rule... fails??? (College Calculus)
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39
Solving a 2023 Cambridge Admissions Test Integral Problem: Step-by-Step Explanation
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40
Calculus | Techniques in finding Limits | Factorization, Conjugates
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41
Mastering AP Calculus AB MCQ 2016: Tips and Tricks for GC MCQ Q27, Q79, Q81, Q85, Q86, Q91, Q92
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42
Exploring the application of Telescoping and Integration to a challenging summation
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43
Can you solve this challenge integration?
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44
Nice tricks in finding Maximum value: Differentiation vs AM-GM inequality | Not the 'mid point'
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45
Can you solve this EVEN MORE challenging limit problem?
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46
How to get this limit (of the form ∞ - ∞)? (A question from Harvard-MIT Math Tournament 2004)
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47
Mastering Taylor Series: Essential AP Calculus BC Review
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48
R-formula or Cauchy inequality?
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49
A difficult integral question in 1979 (The solution and its generalization)
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50
Tricky methods to inequalities
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51
First step to derivative (Two different methods)
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52
Finding the derivative of an Inverse Function of a Polynomial
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53
Differentiation and chain rule (see if you get it right?)
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54
Integration by parts (with three examples)
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55
Cauchy Inequality to Minimizing a Fractional Expression
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56
Solving a Challenging Polynomial Series Sum Using Derivatives (Not Vieta's Formula)
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57
Three methods/tricks to a limit problem
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58
Solving a Tricky Trigonometric Integral with Substitution and Symmetry
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59
Solving an Advanced Integral Problem Using Algebraic Insights
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60
Can you find the value of this intriguing integral?
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61
Minimum Value of a - b for Given a Cubic Equation: A Step-by-Step Solution
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62
(PART 2) 1/e hidden in Pascal's triangle
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63
Solving an Integral Problem with Functional Relationships: f(2x) = 3f(x)
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64
Discovering Euler's Constant: An Interesting Limit Using L'Hôpital's Rule
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65
Which method do you prefer? Differentiation (Calculus) or AM-GM inequality
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66
Find the Minimum using (i) Calculus on 2 variables OR (ii) AM-GM
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67
Lagrange Multipliers and minimum value
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68
Proving the Inequality: 2 ≤ x + y ≤ 4 | Step-by-Step Explanation
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69
Finding Maximum value: Calculus and AM-GM Approaches
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70
Does the pattern always true??
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71
Moving Particles and Max Distance | Math Problem of the Week
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72
Can you solve this challenging limit problem?
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73
Interesting example in using Squeeze theorem.
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74
Unravel the Mystery: Solve This Brilliant Limit Problem Step-by-Step!
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75
Can you solve this problem on limit and factorization
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76
My Favorite integral!
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77
Can you find the limit of this fraction?
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78
Calculus VS Inequality: Maximizing Cube Roots
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79
How Riemann Sum applied here? What other method?
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80
Mastering Limits: 4 Elegant Methods to Solve \(\lim_{n \to \infty} (\sqrt{n^2 + n} - n)\)
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81
Exploring Calculus: Limits of Derivatives and Right-Hand Derivatives Demystified
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82
limit of f' and definition of derivative (College Calculus)
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83
Exploring an Intriguing Sum: The Reciprocal Series Challenge
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84
ZERO or not ZERO? or BOTH???
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85
An elegant way in finding the Minimum Value of a Complex Logarithmic Expression
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86
Telescoping Technique to Solve an Infinite Sum of arc-cotangent.
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87
Maximizing y Using Differentiation: Solving (x + y)^4 = x - y
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88
Solving a Challenging Integral | Cambridge Assessment Admissions Testing 2010
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89
Finding challenging derivative Using (i) Graphing Calculator (ii) Limits and L'Hôpital's Rule
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90
Tangent Line, without finding dy/dx
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91
Derivatives of ln(x) and e^x: A Step-by-Step Proof Using Definitions of derivative
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92
Fun and Simple Ways to Find the Tangent to Conic Sections
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93
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94
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97
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102
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104
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105
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106
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107
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