B) Integrate f over the given region 1. Square f(x, y) = 1/(xy) over the square 1 ≤x≤ 2, 1≤y≤2 2. Triangle f(x, y) = x² + y² over the triangular region with ver- tices (0, 0), (1, 0), and (0, 1) 3. Rectangle f(x, y) = y cos xy over the rectangle 0≤x≤ π, 0 ≤ y ≤1
B) Integrate f over the given region 1. Square f(x, y) = 1/(xy) over the square 1 ≤x≤ 2, 1≤y≤2 2. Triangle f(x, y) = x² + y² over the triangular region with ver- tices (0, 0), (1, 0), and (0, 1) 3. Rectangle f(x, y) = y cos xy over the rectangle 0≤x≤ π, 0 ≤ y ≤1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:B) Integrate f over the given region
=
1/(xy) over the square 1≤x≤ 2,
1.
Square f(x, y)
1≤ y ≤2
2.
Triangle f(x, y) = x² + y² over the triangular region with ver-
tices (0, 0), (1, 0), and (0, 1)
3.
Rectangle
f(x, y) = y cos xy over the rectangle 0 ≤ x ≤ π,
0 ≤ y ≤1
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