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Apply Green's Theorem to evaluate the integrals in Exercises $27-30 .$$$\oint_{C}(6 y+x) d x+(y+2 x) d y$$C: The circle $(x-2)^{2}+(y-3)^{2}=4$
$-16 \pi$
Calculus 1 / AB
Calculus 3
Chapter 15
Integrals and Vector Fields
Section 4
Green’s Theorem in the Plane
Integrals
Vectors
Vector Functions
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So you would like to compute. Followin Inderal were close Curveball six. Why? Below six? Get this. Plus, um, White must wicks. What? Plus, he won first. She is a the boundary off these on the simple given by the equation X minus two squared Lost. Why square she pulled for these, uh, circle overuse. Oh, poorly Scottish square. So over these two centred, huh? 0.232 So should be something like the It's for planes agains. That's fine. Uh, Teoh three or here. This is gonna be several over these. So something like the the circular. It should be something like these. And there. Will you like to do it over that vision counterclockwise around once counter like wise. So, um, with these direction on the mobile Greenstone, if we call these function because these Whoa, we call that function here, um, these em on the functional was here and by winds only. The word inside. It's Kolding said year that Serpellini s your people too being ripped inside of this arsenal. Finn, with respect to why no to do Rex National then would respect Lex minus partial him. You respect who? Why e x What So take a partial fan. Would he bar show white plus ex respect. Battle of the Civil Rights of Miners Special six Line to be here 66 Marshal of six y six Marshall. That respect that's away on uh, well, with the just that that buries it would be six on minor 6216 EF minus four These interval more Here it's for star blackstar People dio Migrants have people toe operating over the side of this The function minus four. So drug star leading to actually political duck The ex white put his minus four pence these being the x and y But these this piece is nothing else on the that region. Thanks, but ah Berio place. Well, um it's a silver circle. Various losing have been buying them school squared dyes area so that the central people so famous for and spite and Stroup Square and two squared at two schools for so minus board and for them spikes of minus 16. Well, she got that the listen to go. He's closing minus six. Why
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