?Use Green's Theorem to evaluate \(\int_{C} F \cdot d r\). (Check the orientation of the

Chapter 14, Problem 13

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QUESTION:

Use Green's Theorem to evaluate \(\int_{C} F \cdot d r\). (Check the orientation of the curve before applying the theorem.)

\(\int_{C}\left(3+e^{x^{2}}\right) d x+\left(\tan ^{-1} y+3 x^{2}\right) d y\)

Equation Transcription:

Text Transcription:

int_C F . dr

int_C (3 + e^x^2) dx + (tan^-1y + 3x^2) dy

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.)

\(\int_{C}\left(3+e^{x^{2}}\right) d x+\left(\tan ^{-1} y+3 x^{2}\right) d y\)

Equation Transcription:

Text Transcription:

int_C F . dr

int_C (3 + e^x^2) dx + (tan^-1y + 3x^2) dy

ANSWER:

Step 1 of 5

Consider the given integral is,

                                       

 

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