# Zachary Lee

*"Obsessed with Integrals"* **https://philosophicalmath.wordpress.com/**

Zachary’s site is very straightforward, unlike the majority of my early work. My earliest work concerned primarily finding quality sites or online PDFs to topics I found interesting at the time. Zachary’s site is dedicated to mathematical exploration, like the large portion of mine. All of his mathematical work carries the same format and is clear to understand (for the most part). I hope if you enjoy intuitive thought processes that you’ll have a look or follow his site (given above).

Some of the topics he covers include:

**Mellin Transformations** – http://mathworld.wolfram.com/MellinTransform.html

**Ramanujan’s Master Theorem** – http://mathworld.wolfram.com/RamanujansMasterTheorem.html

**Trigonometric Integrals** – https://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/trigintdirectory/TrigInt.html

**Cauchy’s Integral Formula** – http://mathworld.wolfram.com/CauchyIntegralFormula.html

**Beta Function** – http://mathworld.wolfram.com/BetaFunction.html

**Leibniz Integral Rule** – http://mathworld.wolfram.com/LeibnizIntegralRule.html

**Feymann’s Technique** :

https://medium.com/dialogue-and-discourse/richard-feynmans-integral-trick-e7afae85e25c

http://fy.chalmers.se/~tfkhj/FeynmanIntegration.pdf

**Lebesgue Integral** – http://mathworld.wolfram.com/LebesgueIntegral.html

**Reimann Integral** – https://www.math.ucdavis.edu/~hunter/m125b/ch1.pdf

**Bell Polynomials** – http://mathworld.wolfram.com/BellPolynomial.html

**Contour Integration** – http://mathworld.wolfram.com/ContourIntegration.html

**Digamma Function** – http://mathworld.wolfram.com/DigammaFunction.html

*and more …*

Zachary’s website is archived back all the way to July 2017 and he posts fairly regularly so he has plenty of posts you can look through. I originally found out about Zachary through YouTubers BlackPenRedPen and Dr. Peyam through one of my favorite integrals:

\begin{aligned} \int_0^\infty \dfrac{\sin{x}}{x} \: dx = \dfrac{\pi}{2} \end{aligned}

Regardless, he has taught myself (obviously many online as well) of many new techniques and problems (both open and closed) in mathematics and for that I’m thankful. I’m a philomath (like him)!

##### Recent Posts

- Life Has Intrinsic Value: A Graphic Proposition November 24, 2019
- The Rubin Report: Liberal or Not? November 2, 2019
- Integral of cos(ln(x)) dx: A Third Method Via Euler's Identity October 24, 2019
- Ramanujan's Beautiful Master Formula: Integral From 0 to ∞ (e)^(-x^n)sin(x^n) dx October 19, 2019
- Political Opinions: My Honest Answers October 19, 2019
- Integral from 0 to 1 (ln(1/x))^b dx October 19, 2019
- Integral from 0 to 1 ln(x)ln(1-x) dx October 19, 2019
- Integral from 0 to ∞ [x^a/(x^b+1)] dx October 18, 2019
- Feynman's Trick: Integral from 0 to ∞ [(e^(-x)-e^(-bx))/x] dx October 18, 2019
- Integral from 0 to 1 [ln(x)/(x-1)] dx October 18, 2019
- Statistical Optimism: Investing For The Long Haul August 27, 2019
- Everyone Can Be Racist: A Response to Sociological Alternatives August 25, 2019
- Hermeneutic Pragmatism: The Prelude August 22, 2019
- Estimating the Number of Regular Polygons in Powers of 2 Needed to Achieve Certain Decimal Place Accuracy of π July 13, 2019
- Male Strength Standards in Specific Exercises July 5, 2019
- Daniel's Running Model June 24, 2019
- Guided Approach to Approximating π April 28, 2019
- Integrals: Royal Properties April 23, 2019
- Freeletics Documentation: 115 / 372 (31%) April 21, 2019
- Estimating Fitness Levels: FFMI Method April 19, 2019
- How Much Time is Required to Reach a Specific BF%? April 18, 2019
- Integral of [1+(x^g)]^(-n) from 0 to ∞ April 17, 2019
- Integral of (1+[x^2])^(-n) from 0 to ∞ April 17, 2019
- 200m MLR Estimate April 16, 2019
- Reflections: HS and College Requirements April 14, 2019
- Why I'd Support A Negative Income Tax (NIT) April 13, 2019
- Using a Simple Integral to Solve a Much Harder One April 12, 2019
- I'm an INTJ - A April 11, 2019
- Integral of [a(x^n)+b]/[c(x)+d] April 11, 2019
- Walking / Running Calories Burned Based on MET April 10, 2019
- Integral of 1/(x^n+1) from 0 to ∞ April 9, 2019
- Multiplication ... But With Sigma Notation? April 9, 2019
- The Riemann Zeta Function Using The Pythagorean Theorem April 8, 2019
- Creator Spotlight - Zachary Lee April 8, 2019
- Integral of 1/[(x^3)+1] from 0 to ∞ April 5, 2019
- 400m Estimate Using Multiple Linear Regression January 21, 2019
- 1RM Formulae and its Applications January 20, 2019
- Swainson et al. (WHtR) Body Fat Calculator January 19, 2019
- Heller Institute of Medical Research Body Fat Calculator January 19, 2019
- NSCA's Macronutrient Training Guidelines January 19, 2019
- NASM's Macronutrient Plan for Adults/Athletes January 18, 2019
- Radu Antoniu's Macronutrient Plans for Fat Loss and Bulking January 18, 2019
- Fitness Plans January 13, 2019
- Estimating Caloric Burn With MET Values and EPOC January 12, 2019
- Maximal Muscular Potential for Natural Athletes Calculator January 6, 2019
- Freeletics Documentation: Summary of Exercises and Workouts December 28, 2018
- Freeletics Documentation: The Introduction December 27, 2018
- Response to Kyle Osborne's "What I Learned From Watching Ben Shapiro for a Week" June 10, 2018
- Notable Articles on Medium (UPDATED 6/6/18) June 6, 2018
- Other Personal Outlets June 6, 2018
- Thoughts on the Negative Income Tax June 5, 2018
- A Discussion on Divine Command Theory With a Theistic Friend May 31, 2018
- Online Book PDF's PII (Updated 5/26/18) May 25, 2018
- VO2 Max and its Relations May 8, 2018
- Stride Length Estimates and Relative Calories Burned May 8, 2018
- 400m Potential Calculators (UPDATED 5/23/18) May 8, 2018
- Calories Burned While Walking or Running Calculator May 8, 2018
- Female Fitness Multi-Calculator May 7, 2018
- Male Fitness Multi-Calculator May 7, 2018
- MATH 341 - Number Theory February 7, 2018
- Online Book PDFs December 28, 2017

##### Post Archives (Non – Linked Posts)

- November 2019 (2)
- October 2019 (8)
- August 2019 (3)
- July 2019 (2)
- June 2019 (1)
- April 2019 (19)
- January 2019 (10)
- December 2018 (2)
- June 2018 (4)
- May 2018 (8)
- February 2018 (1)
- December 2017 (1)

##### Post Categories

- Blog (6)
- Economics (4)
- Fitness (24)
- Literature (6)
- Mathematics (22)
- Philosophy (9)
- Uncategorized (4)