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3. Convert the following integral from rectangular coordinates to both cylindrical and spherical coordinates and evaluate the simplest iterated integral: r1+√√/1=x²-y² LIET x dz dy dx .

3. Convert the following integral from rectangular coordinates to both cylindrical and spherical coordinates and evaluate the simplest iterated integral: r1+√√/1=x²-y² LIET x dz dy dx .

Advanced Engineering Mathematics
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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3. Convert the following integral from rectangular coordinates to both cylindrical and spherical coordinates and evaluate the simplest iterated integral: 1-x²-y² -x² LEV ·1+₁ x dz dy dx .
Transcribed Image Text:3. Convert the following integral from rectangular coordinates to both cylindrical and spherical coordinates and evaluate the simplest iterated integral: 1-x²-y² -x² LEV ·1+₁ x dz dy dx .
Expert Solution
Step 1

We have given a triple integral ∫-11∫-1-x21-x2∫11+1-x2-y2xdzdydx

We have to convert given integral into cylindrical coordinates and spherical coordinates.

Also ,We have to evaluate the value of integral .

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