List questions from infinitesimals

Published on 19 Mar 2016 - 10:29

443

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Do we have $\int f dxdy = \int fdydx$ or $\int f dxdy = -\int f dydx$?

Published on 22 Mar 2016 - 15:27

358

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Cauchy's contribution

Published on 08 Apr 2016 - 19:52

620

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What is the value of $\tan (\frac{\pi}{2} - \epsilon)$?

Published on 14 Apr 2016 - 19:21

11.6k

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Problem with basic definition of a tangent line.

Published on 29 Mar 2026 - 12:53

124

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How does differentiation work?

Published on 23 Apr 2016 - 18:13

145

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the relationship between $f(x)$ and $dx$ in $\int_a^b f(x)\,\mathrm{d}x$

Published on 24 Apr 2016 - 6:12

2.3k

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Dividing derivatives by derivatives

Published on 08 May 2016 - 6:32

1.6k

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First year calculus student: why isn't the derivative the slope of a secant line with an infinitesimally small distance separating the points?

Published on 16 May 2016 - 4:34

429

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Learning differential calculus through infinitesimals

Published on 22 May 2016 - 9:24

109

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Density of real numbers and density function

Published on 23 May 2016 - 16:14

64

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Clarification of meaning of dx in an integral

Published on 26 May 2016 - 1:05

2.7k

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Using infinitesimals to find the volume of a sphere/surface area of a sphere

Published on 03 Jun 2016 - 14:57

40

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How do I make a change of variables in an integral?

Published on 13 Jun 2016 - 21:59

2.9k

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What's so different about limits compared to infinitesimals?

Published on 28 Mar 2026 - 22:26

List Question

proof that $ \lim \limits_{n \to \infty} \sqrt[n]{n^5 -2n + 7} = \infty $

Do we have $\int f dxdy = \int fdydx$ or $\int f dxdy = -\int f dydx$?

Cauchy's contribution

What is the value of $\tan (\frac{\pi}{2} - \epsilon)$?

Problem with basic definition of a tangent line.

How does differentiation work?

the relationship between $f(x)$ and $dx$ in $\int_a^b f(x)\,\mathrm{d}x$

Dividing derivatives by derivatives

First year calculus student: why isn't the derivative the slope of a secant line with an infinitesimally small distance separating the points?

Learning differential calculus through infinitesimals

Density of real numbers and density function

Clarification of meaning of dx in an integral

Using infinitesimals to find the volume of a sphere/surface area of a sphere

How do I make a change of variables in an integral?

What's so different about limits compared to infinitesimals?

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