Question

Evaluate the line integral

(7х — у)і + хуј) . dr
C is the arc of the circle x? + y = 1 counterclockwise from (1,0) to (-1,0).
%3D
The curve C can be parametrized by
r(t) = ?
Σ
te
Σ.pi
Σ|
(use the most natural parametrization)
Express the line integral in terms of t
((7x – y)i + xyj) · dr =
Σ dt .
where
Σ
b = pi
Σ
Evaluate the integral
(7х — у)і + хуј) dr %3D
Σ

Image Transcription

(7х — у)і + хуј) . dr C is the arc of the circle x? + y = 1 counterclockwise from (1,0) to (-1,0). %3D The curve C can be parametrized by r(t) = ? Σ te Σ.pi Σ| (use the most natural parametrization) Express the line integral in terms of t ((7x – y)i + xyj) · dr = Σ dt . where Σ b = pi Σ Evaluate the integral (7х — у)і + хуј) dr %3D Σ

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