Chapter 16, Problem 17RE

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Use Green’s Theorem to evaluate ∫_{C} x^{2}*y dx* − *xy ^{2}dy*, where

To determine

**To Evaluate:**

Explanation

**Given data:**

Here,

*C* is the circle

**Formula used:**

Write the expression Greenâ€™s Theorem.

Consider the expression as follows.

Compare left hand side (LHS) of equation (1) with

Substitute

Find the value of limits as follows.

Consider the circle equation as follows.

Write the expression for circle equation.

Compare equation (3) and (4).

Area of circle depends upon radius

Apply limits and modify equation (2) as follows.

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