(a) Use a Riemann sum with m = n = 2 to estimate the value of ∬ R x e − x y d A , where R = [ 0 , 2 ] × [ 0 , 1 ] . Take the sample points to be upper right corners. (b) Use the Midpoint Rule to estimate the integral in part (a).
(a) Use a Riemann sum with m = n = 2 to estimate the value of ∬ R x e − x y d A , where R = [ 0 , 2 ] × [ 0 , 1 ] . Take the sample points to be upper right corners. (b) Use the Midpoint Rule to estimate the integral in part (a).
Solution Summary: The author explains how to estimate the value of iint xe-xydA by taking the sample points upper right corners.
(a) Use a Riemann sum with
m
=
n
=
2
to estimate the value of
∬
R
x
e
−
x
y
d
A
, where
R
=
[
0
,
2
]
×
[
0
,
1
]
. Take the sample points to be upper right corners.
(b) Use the Midpoint Rule to estimate the integral in part (a).
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Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=rCWOdfQ3cwQ;License: Standard YouTube License, CC-BY