Evaluate the integral by changing to polar coordinates. ∫∫[D] x dA. Where D is the region in the first quadrant that lies bewteen the circles x^2+y^2=4 and x^2+y^2=2x.
Please, explain how can you find the limit for "r" ..
first circle has center (0,0), radius = 2
second circle has center (1,0), radius = 1
I know that
but where is D !!
"BETWEEN TWO CIRCLES" << Omg, i cant figure it out =(
And this is not for my homework
Actually, we dont hae homeworks in our university =D
I know theta between 0 and pi/2
I know how to draw the two circles
and i know the circle with radius 1 will lies inside the other circle
BUT the problem is I cant figure this >> "LIES BETWEEN THE TWO CIRCLES"
where is the region which lies between two circle!!
can you show it to me?
and another question please:
r from 2cosθ to 2
but why it not from 2 to 2cosθ ??!
sorry, but i have little problems in this section =(
So the region will be the half of the small circle above the x-axis
then theta lies between 0 and pi/2
Still good !
But the problem is the limits of r!
this region is bounded by two polar curves
r = 2
and r = 2cosθ
Fantastic! i got it.. but still i have a small problem
why is it from 2cosθ to 2
isnt it from 2 to 2cosθ ??