Evaluate the integral of the function f(x, y) = 4 along the circle of radius 2 oriented clock-wise whose parametrization is given by r(t) = (2 cos 0, 2 sin 0), 0 E [0, 27] (2 decimals is ok) Type your answer.
Evaluate the integral of the function f(x, y) = 4 along the circle of radius 2 oriented clock-wise whose parametrization is given by r(t) = (2 cos 0, 2 sin 0), 0 E [0, 27] (2 decimals is ok) Type your answer.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Step 1
Given that along the circle of radius 2 oriented clock wise whose parametrization is given by .
The objective is to find the integral for the function.
So
Now the integral can be rewritten as,
It is given that
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