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?Use Green's Theorem to evaluate \(\int_C F \cdot d r\). (Check the orientation of the
Chapter 14, Problem 14(choose chapter or problem)
Use Green's Theorem to evaluate \(\int_C F \cdot d r\). (Check the orientation of the curve before applying the theorem.)
\(\int_C\left(x^{2 / 3}+y^2\right) d x+\left(y^{4 / 3}-x^2\right) d y\)
Questions & Answers
QUESTION:
Use Green's Theorem to evaluate \(\int_C F \cdot d r\). (Check the orientation of the curve before applying the theorem.)
\(\int_C\left(x^{2 / 3}+y^2\right) d x+\left(y^{4 / 3}-x^2\right) d y\)
ANSWER:
Step 1 of 2
One needs to find following integral:
Taking partial derivative of function,
Therefore,
