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· One min read
Sergey Rodin
Phuc Thai

Welcome to this blog. This blog is created with Docusaurus 3.

This is my first post on Docusaurus 3.

Fundamental Theorem of Calculus
Let f:[c,b]Rf:[c,b] \to \R be Riemann integrable. Let F:[c,b]RF:[c,b]\to\R be F(x)=cxf(t)dtF(x)= \int_{c}^{x}f(t)dt. Then FF is continuous, and at all xx such that ff is continuous at xx, FF is differentiable at xx with F(x)=f(x)F'(x)=f(x).

A whole bunch of exploration to follow.