3. Let D be the region in the first quadrant (x > 0, y > 0) of the xy-plane bounded by the curves y = √x, y = 2√x, x² + y² = 1 and x² + y² = 4. Using a change of variables, evaluate the double integral: 2x² + y² dA. xy

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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3.
Let D be the region in the first quadrant (x > 0, y > 0) of the xy-plane bounded
by the curves y = √x, y = 2√√√x, x² + y² 1 and x² + y² 4. Using a change of variables,
evaluate the double integral:
=
=
S S₂
2x² + y²
dA.
xy
Transcribed Image Text:3. Let D be the region in the first quadrant (x > 0, y > 0) of the xy-plane bounded by the curves y = √x, y = 2√√√x, x² + y² 1 and x² + y² 4. Using a change of variables, evaluate the double integral: = = S S₂ 2x² + y² dA. xy
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