4 3 6 Evaluate the integral 4cos (x 5/Z -dx dy dz by changing the order of integration in an appropriate way. 0 0 2y

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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4 3 6
Evaluate the integral 4cos (x
5/Z
-dx dy dz by changing the order of integration in an appropriate way.
0 0 2y
Transcribed Image Text:4 3 6 Evaluate the integral 4cos (x 5/Z -dx dy dz by changing the order of integration in an appropriate way. 0 0 2y
Expert Solution
Step 1

The given integral is,

4cosx
CC
-dcdy dz
Step 2

Evaluate this integration by the method of change of order of integration in the following.

The limits of the integral are-

y 0 to y 3
z 0 to z 4
Step 3

Take the integral in the form dydxdz .

Draw a graph in the xy – plane,

y-3
(6, 3)
2
x-2y
x-6
(0, 0)
(6,0)
2
2
8
y=0
--2
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