Analysis · Calculus
The Riemann Integral
The Riemann integral formalizes area by squeezing between upper and lower sums. The FTC proof in analysis is cleaner and more revealing than the calculus version.
WHAT STUDENTS WILL LEARN
✓Define the integral via Darboux sums
✓Prove integrability of continuous and monotone functions
✓Prove the FTC rigorously
✓Motivate the Lebesgue integral
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