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3. Evaluate: $(x³ + xy) dx + [x² − ln(y²)]dy using one method. C is the boundary of a region bounded by the graphs of circles with radii of 2 and 4 centered at the origin oriented counterclockwise.

3. Evaluate: $(x³ + xy) dx + [x² − ln(y²)]dy using one method. C is the boundary of a region bounded by the graphs of circles with radii of 2 and 4 centered at the origin oriented counterclockwise.

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
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2. Evaluate: $(8y-x²) dx + [2x − 3y² + y]dy using one method. C is the boundary of the graph of a circle of radius 4 oriented counterclockwise. 3. Evaluate: $(x³ + xy) dx + [x² − ln(y²)]dy using one method. C is the boundary of a region bounded by the graphs of circles with radii of 2 and 4 centered at the origin oriented counterclockwise.
Transcribed Image Text:2. Evaluate: $(8y-x²) dx + [2x − 3y² + y]dy using one method. C is the boundary of the graph of a circle of radius 4 oriented counterclockwise. 3. Evaluate: $(x³ + xy) dx + [x² − ln(y²)]dy using one method. C is the boundary of a region bounded by the graphs of circles with radii of 2 and 4 centered at the origin oriented counterclockwise.
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