Math 210 Lecture 10: Double integrals
Daniel Ingebretson
University of Illinois at Chicago
July 3, 2024
,The Riemann integralR for y = f (x)
b
Recall the definition of a f (x) dx:
,Double Riemann sums
We want to calculate the volume inside a rectangular region
R = {(x, y) : a ≤ x ≤ b, c ≤ y ≤ d} underneath the surface
z = f (x, y).
, Double Riemann sums
We want to calculate the volume inside a rectangular region
R = {(x, y) : a ≤ x ≤ b, c ≤ y ≤ d} underneath the surface
z = f (x, y).
Daniel Ingebretson
University of Illinois at Chicago
July 3, 2024
,The Riemann integralR for y = f (x)
b
Recall the definition of a f (x) dx:
,Double Riemann sums
We want to calculate the volume inside a rectangular region
R = {(x, y) : a ≤ x ≤ b, c ≤ y ≤ d} underneath the surface
z = f (x, y).
, Double Riemann sums
We want to calculate the volume inside a rectangular region
R = {(x, y) : a ≤ x ≤ b, c ≤ y ≤ d} underneath the surface
z = f (x, y).
