theta = x

Find the area between the polar curves : r= 2-2cos(x) and r = -2.75cos(x)

i know the formula is

.5* Int( r1^2- r2^2, x, ?, ?)

I just dont know what the bounds are. since the graph seems to touch at only one point.

Help is appreciated.

Printable View

- Apr 24th 2009, 07:03 PMCalcGeek31Area Between Polar Curves
theta = x

Find the area between the polar curves : r= 2-2cos(x) and r = -2.75cos(x)

i know the formula is

.5* Int( r1^2- r2^2, x, ?, ?)

I just dont know what the bounds are. since the graph seems to touch at only one point.

Help is appreciated. - Apr 24th 2009, 07:50 PMJameson
You can find the bounds like you do for integrals in Cartesian coordinates. Set the two expressions equal to each other.

- Apr 25th 2009, 06:42 AMcurvature
It is the region between a circle and a cardioid. The following figure might help.