evaluate the line integral c x 2 y 2dx 2xydy where c consists of the arc of the parabola y x 2 f

Name: evaluate the line integral c x 2 y 2dx 2xydy where c consists of the arc of the parabola y x 2 from 0 0 to 1 1 followed by the line segment from 1 1 to 0 0 in two ways directly and using gre 98775
Uploaded: 2023-07-04T02:43:01-08:00
Duration: 5 min 22 s
Channel: Madhur L
Description: evaluate the line integral c x 2 y 2dx 2xydy where c consists of the arc of the parabola y x 2 from 0 0 to 1 1 followed by the line segment from 1 1 to 0 0 in two ways directly and using gre 98775

Question

Madhur L · Accepted Answer

First, we will evaluate the line integral directly.

Question

Evaluate the line integral C x^2 + y^2 dx + 2xy dy, where C consists of the arc of the parabola y = x^2 from (0, 0) to (1, 1), followed by the line segment from (1, 1) to (0, 0), in two ways, directly and using Green's Theorem.

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