Fundamental Theorem of Calculus - Lecture 19

Explore the pivotal connection between differentiation and integration through this 80-minute lecture from MIT's Real Analysis course. Discover two versions of the fundamental theorem of calculus, which establishes the essential relationship between derivatives and integrals. Learn about improper integrals and examine the integration of unbounded functions. Gain deep mathematical insights into one of calculus's most important theoretical foundations through rigorous analysis and proof techniques taught by Professor Tobias Holck Colding.