Solution Found!
?Use Green's Theorem to evaluate \(\int_{C} F \cdot d r\). (Check the orientation of the
Chapter 14, Problem 18(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.)
\(F(x, y)=\left\langle\sqrt{x^{2}+1}, \tan ^{-1} x\right\rangle\) , \(C\) is the triangle from (0, 0) to (1, 1) to (0, 1) to (0, 0)
Equation Transcription:
〈
⟩
Text Transcription:
int_C F . dr
F(x, y) = left angle sqrt x^2 + 1, tan^-1 x right angle
C
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.)
\(F(x, y)=\left\langle\sqrt{x^{2}+1}, \tan ^{-1} x\right\rangle\) , \(C\) is the triangle from (0, 0) to (1, 1) to (0, 1) to (0, 0)
Equation Transcription:
〈
⟩
Text Transcription:
int_C F . dr
F(x, y) = left angle sqrt x^2 + 1, tan^-1 x right angle
C
Step 1 of 2
According to the green’s theorem,
Here, D is the region enclosed by the closed curve C. D is the region formed by three given points that is a right angle triangle.
Let find the line that joins the two points 
This can be shown below figure:
