Evaluate the line integral (direct method) | (3x– y) dx – x dy , where C consist of the parabola y=x² from (0,0) to (1,1) and then the line segment from (1,1) to (0,1). (Include a diagram of the curve C.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 35E
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6. Evaluate the line integral (direct method) [(3x – y) dx – x dy , where C consist of the parabola y = x from (0,0) to
(1,1) and then the line segment from (1,1) to (0,1). (Include a diagram of the curve C.)
Transcribed Image Text:6. Evaluate the line integral (direct method) [(3x – y) dx – x dy , where C consist of the parabola y = x from (0,0) to (1,1) and then the line segment from (1,1) to (0,1). (Include a diagram of the curve C.)
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