Calculus
107 videos • 8,651 views • by Mathematical Visual Proofs
Visual proofs that utilize or are related to calculus ideas and techniques.
1
Aristarchus's Inequality (visual proof)
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2
Bernoulli's Inequality (two visual proofs via calculus)
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3
x plus 1/x is greater than or equal to 2 when x is positive IV (visual proof via calculus)
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4
Napier's Inequality (two visual proofs via calculus)
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5
When is A^B greater than B^A II (visual proof)
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6
An Integral without Trigonometric Substitution (visual proof)
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7
When is A^B greater than B^A I (visual proof)
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8
Infinite series: summing reciprocals of triangular numbers (visual proof)
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9
Geometric series: sum of powers of 1/4 (visual proof)
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10
Geometric series: sum of powers of 4/9 (visual proof)
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11
Alternating Geometric Series: sum of Powers of 1/2 (visual proof)
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12
Geometric series: sum of powers of 1/5 (visual proof)
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13
Geometric series: sum of powers of 1/3 (visual proof)
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14
Geometric series: sum of Powers of 1/7 (visual proof)
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15
Two Nonstandard Infinite Geometric Series (visual proof)
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16
Geometric series: sum of powers of 1/2 (visual proof)
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17
Geometric series: sum of powers of 1/9 (visual proof)
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18
Geometric series: sum of powers of 1/5 II (visual proof)
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19
The Geometry of Finite Geometric Sums (visual proof; series)
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20
Alternating Geometric Series: Powers of -1/3 (visual proof)
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21
Arithmetico-Geometric Series Visualized (visual proof using Gabriel's Staircase)
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22
Mediant Inequality III (visual proof)
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23
Point Line Distance Formula (visual proof)
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24
Alternating Geometric Series: sum of powers of 1/2 II (visual proof)
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25
Geometric series: sum of powers of 1/3 II (visual proof)
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26
A Nonstandard Geometric Series (visual proof)
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27
Circle Area (classic visual proof)
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28
Geometric Series: sum of powers of 1/6 (visual proof)
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29
Geometric Series: sum of powers of 1/9 (visual proof)
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30
Products of Chords in a Circle (math visualization)
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31
Visual proof of infinite geometric series sum II
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32
Harmonic Sums and Divergence of Harmonic Series (visual proof)
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33
Infinite Geometric Series Sum Formula III (visual proof)
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34
Alternating Geometric Series (visual proof)
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35
A visual infinite sum like you’ve never seen!
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36
Visualizing the Infinite Gift and Computing its Measurements #math #manim #paradox
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37
A Dramatic Finite Sum : Oblong Numbers II (visual proof without words)
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38
Beautiful Geometry behind Geometric Series (8 dissection visual proofs without words) #math #series
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39
Pi to e versus e to pi: which is larger? (Pi day short)
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40
e^ Pi vs Pi^e: which is bigger? II A Pre Pi-day battle. (visual proof; calculus)
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41
A random area approximation of Pi (pi day short)
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42
e^ Pi vs Pi^e: which is bigger? A Pi day battle. (visual proof; calculus)
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43
Adding powers of 1/2
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44
A visual alternating sum!
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45
Alternating infinite sum!
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46
Infinite sum of powers of sixths!
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47
Visual derivative of x squared
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48
Visualizing the derivative of sin(x)
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49
Visual Harmonic Series Divergence from Bernoulli!
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50
Exponential derivative visual
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51
Differentiated Geometric Series (proof without words)
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52
0.999999… = 1
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53
Summing Squares Geometrically
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54
Visual Derivative Definition!
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55
Root Two is Irrational Visually
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56
Finite Geometric Sum Formula
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57
Alternating 1/4 Sum
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58
Visual Integral of the Natural Logarithm
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59
Geometry of the Alternating Harmonic Series (visual proof)
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60
0.111... = 1/9 and 0.999... = 1 | Visual Series Dissections (proof without words)
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61
Infinite gift and the painter’s #paradox
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62
General Differentiated Geometric Series | visual proof
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63
A Hexagonal Geometric Sum (visual proof without words)
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64
Proof by Game (infinite Fibonacci sum)
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65
Trig Visualized: One Diagram to Rule them All (six trig functions in one diagram)
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66
0.2222…= 1 (in base 3)
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67
Butterfly Curve
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68
The Amazing Cycloid Area (Visual Proof via Cavalieri)
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69
Infinite sum of powers of 4/9
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70
A Golden Ratio Infinite Series Dissection (visual proof)
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71
0.4444... = 1 (in base 5)
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72
An Amazing way to Sum Squares (visual proof V using cuboids)
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73
Sum Cubes with Triangles (visual proof without words V)
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74
Sum of Squares Visual Proofs: From Level 1 to Level 5
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75
A Factorial Series Geometric Dissection (visual proof)
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76
Infinite Sum of Powers of -1/7 in a Square (visual proof without words)
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77
Picture me Differentiating (visual calculus)
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78
0.3333… = 1 (in base 4)
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79
Integrating by Weierstrass Substitution (visual proof)
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80
Infinite Geometric Series in a Square (visual proof without words) III
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81
Sum of Cubes as Sum of Odds and more (visual proof VI)
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82
Circle area by exhaustion (two visual area techniques)
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83
Does Pi Equal 2?? (Spoiler: no)
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84
e^Pi vs Pi^e : which is larger? (pi day battle)
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85
Infinitely Many Infinite Sums Geometrically (visual proof)
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86
Irrational Root 2!
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87
Infinite Geometric Series Sum
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88
0.7777… = 1 (in base 8)
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89
0.1111… = 1 (in base 2)
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90
Which is larger: A^ B or B^A? (two visual proofs)
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91
Three Geometric Series in an Equilateral Triangle (visual proof without words)
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92
Root 2 is Irrational from Isosceles Triangle (visual proof)
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93
Sum of a Positive Number and its Reciprocal from Calculus
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94
Alternating Geometric Series Sum
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95
0.66666… = 1 (in base 7)
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96
Sum Geometric Series with Ratio 1/2 in Rectangles (visual proofs)
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97
Happy Tau Day!
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98
Two Infinite Series Sums from Regular Polygons (visual proof)
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99
A Visual Attempt at 1 + 2 + 3 + 4 + 5 + ... = -1/12
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100
0.8888… = 1 (in base 9)
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101
Sum of Cubes VII (visual proof without words)
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102
Two Geometric Series in an Isosceles Trapezoid (visual proof without words)
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103
0.5555… = 1 (in base 6)
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104
Sums of Sums of Squares (visual proof)
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105
0.bbbb... = 1 (in base b+1) | 9 geometric series dissection proofs without words
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106
Continuous everywhere but differentiable nowhere : Weierstrass Function Visualization!
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107
Visualizing Derivatives on Multivariable Surface Plots of Average Rates of Change
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