Evaluate the following integral: JIS [xlnytan z dV if S = {(x, y, z) € R³ : − 1 ≤ x ≤ 0, e ≤ y ≤ 2e, and 0 ≤ z ≤ } b.) [ ² xyz dv if S is the region bounded by the cylinders x² + y² = 25, x² + z² = 25 and the S first octant with dV = dz dy dx. I. a.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Evaluate the integrals:

Evaluate the following integral:
JIS
[xlnytan z dV if S = {(x, y, z) € R³ : − 1 ≤ x ≤ 0, e ≤ y ≤ 2e, and 0 ≤ z ≤ }
b.)
[ ² xyz dv if S is the region bounded by the cylinders x² + y² = 25, x² + z²
= 25 and the
S
first octant with dV = dz dy dx.
I.
a.)
Transcribed Image Text:Evaluate the following integral: JIS [xlnytan z dV if S = {(x, y, z) € R³ : − 1 ≤ x ≤ 0, e ≤ y ≤ 2e, and 0 ≤ z ≤ } b.) [ ² xyz dv if S is the region bounded by the cylinders x² + y² = 25, x² + z² = 25 and the S first octant with dV = dz dy dx. I. a.)
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