I was given the question as follows:
F(x, y) = ( y− cos y, x sin y)
C is the circle (x−7)2 + (y + 6)2 = 16 oriented clockwise
Calculate the integral \(\displaystyle \int\) F \(\displaystyle \cdot\) r dr over the region C, using Greens Theorem.
I managed to apply Greens theorem and reached the answer of:
\(\displaystyle \int\)\(\displaystyle \int_{D}1dxdy\)
However I'm having trouble to find the region of integration. I tried playing with polar coordinates but I did not arrive and any conclusive values for the integrand.
Could anyone explain to me how to find the integrand values?
F(x, y) = ( y− cos y, x sin y)
C is the circle (x−7)2 + (y + 6)2 = 16 oriented clockwise
Calculate the integral \(\displaystyle \int\) F \(\displaystyle \cdot\) r dr over the region C, using Greens Theorem.
I managed to apply Greens theorem and reached the answer of:
\(\displaystyle \int\)\(\displaystyle \int_{D}1dxdy\)
However I'm having trouble to find the region of integration. I tried playing with polar coordinates but I did not arrive and any conclusive values for the integrand.
Could anyone explain to me how to find the integrand values?
Last edited: