The discussion revolves around finding the area of a circle defined by the polar equation r=2cos(θ) using polar integration techniques. The context is situated within multivariable calculus.
There is an acknowledgment of a potential misunderstanding regarding the integration limits, with some participants suggesting that the original poster's answer may still be valid despite the concerns raised. The conversation reflects an exploration of different interpretations of the problem.
Participants note that the original poster's calculator was in degree mode, which may have contributed to the confusion. The discussion also highlights the importance of correctly identifying the interval of integration when dealing with polar coordinates.
While you may have gotten the correct answer, if you plot that circle you will see that the appropriate interval of integration would be ##[-\frac \pi 2,\frac \pi 2]##, not ##[0,\pi]##.Malabeh said:EDIT: I don't know how to delete a post but I got it. My calculator was in degree mode.
It works both ways, does it not?LCKurtz said:While you may have gotten the correct answer, if you plot that circle you will see that the appropriate interval of integration would be ##[-\frac \pi 2,\frac \pi 2]##, not ##[0,\pi]##.