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Riemann Sums, Definite Integrals, Fundamental Theorem of Calculus

• Geometrically, Riemann sums represent sums of rectangle approximations.
• The definite integral is a limit of Riemann sums.
• For very simple functions, it is possible to directly compute Riemann sums and then take the limit.
• Though this topic is very important theoretically, in practice we will compute integrals by using the First Fundamental Theorem of Calculus.