Evaluate the integral J Jayzds

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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(14) Evaluate the integral
if S is given by r(u, v)
ㅠ
=
LLY
xyzds
(u cos v, u sin v, u) over the region D given by 0 ≤u≤ 1,
0≤v≤. Hint: Use the formula
[ [ f(x, y, z)ds = [ [ f(r(u, v))|| ru x rv||dA
Transcribed Image Text:(14) Evaluate the integral if S is given by r(u, v) ㅠ = LLY xyzds (u cos v, u sin v, u) over the region D given by 0 ≤u≤ 1, 0≤v≤. Hint: Use the formula [ [ f(x, y, z)ds = [ [ f(r(u, v))|| ru x rv||dA
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