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FINALLY! My sources: https://www.overleaf.com/read/fmcbvxwvrbbn#47fe22.

Most students are taught to evaluate integrals. Researchers are taught to recognize when an integral defines something new.

In this video, we solve one of the most famous integrals in mathematics—the Gaussian integral. The integral of e^(-x²) from ...

This video explains two special functions frequently used in chemistry: the gamma function and the error function (0:17-0:25).

Lecture 5 of ME 373 at Oregon State University. Timestamps: 0:00 - Grid Normalization 11:25 - Taylor Tables 30:04 - Numerical ...

3.a) Using trapezoidal rule to approximate area (SL 5.5) 3.b) Finding indefinite integral (SL 5.5) 3.c) Calculating exact area using ...

First, I will build some intuition about inverse functions using geometry. Second, we will state the formal definition and the theorem.

A proof of Riemann Hypothesis based on: Euler-Maclaurin and Perron''s Formula with Error Control, Contour Shifting, Residue ...

Daily hard integral Error: 2n-1 not 2n+1.

Download Notes & Formula Sheet ...

Lecture 6 of ME 373 at Oregon State University. Timestamps: 0:00 - Intro 1:00 - Error Analysis, Midpoint Rule 15:40 - Trapezoidal ...

5.a.i) Differentiating quadratic function (SL 5.3) 5.a.ii) Finding maximum using derivative (SL 5.7) 5.b.i) Writing integral for area (SL ...

Derivation of the Hankel Contour Definition of the Gamma Function, valid for all complex numbers z. This version fixes an error in ...

Error: The correct formula is tan(f'(xB))-tan(f'(xA)), not tan(f'(xB)-f'(xA)). I was in a hurry to get this finished. Maybe that's why ...