6. Let the following integral (in cylindrical coordinates) be given: 2. 1 3-27 I = [ S 0 0 2-r r dz dr d0 .

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Chapter2: Second-order Linear Odes
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6. Let the following integral (in cylindrical coordinates) be given:
2x 1 3-27
I = || | rdz dr d0 .
0 0 2-r
[14] (c) Evaluate I:'
(ii) using spherical coordinates.
Hint for (ii):
csc? ø
-dø
(acotø+b)³
1
-1/ a
sin ø
(acos ø+bsin ø)
- dø
(аcot ф + b)
-d (acot ф + b).
Transcribed Image Text:6. Let the following integral (in cylindrical coordinates) be given: 2x 1 3-27 I = || | rdz dr d0 . 0 0 2-r [14] (c) Evaluate I:' (ii) using spherical coordinates. Hint for (ii): csc? ø -dø (acotø+b)³ 1 -1/ a sin ø (acos ø+bsin ø) - dø (аcot ф + b) -d (acot ф + b).
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