MAT 3751 Analysis II 5.2 The Riemann Integral Part I

References Bloch 5.2

Homework Team HW Due Next Friday Again, do it ASAP

Recall Calculus II Suppose f is a continuous function defined on [a,b], we divide the interval [a,b] into n subintervals of equal width The area of the i th rectangle is

Recall Calculus II i th subinterval sample point

Recall Definition The Definite Integral of f from a to b

Partition, Norm, Representative Set, and Riemann Sum

Example 1

Example 2

Riemann Integrals and Riemann Integrable

Lemma

Example 3