Question

Change the Cartesian Integral into an equivalent polar integral then evaluate: (int(int(dydx)) from -1 to 1 and 0 to sqrt(1-x^2)

Answer 1

nvm got it...

Answer 2

How'd you do it? If I may

Answer 3

YOu have to graph the boundaries then find the new boundaries: 0 to pi/2 and 0 to 1. Then you use the equation int(int(rdrdtheta) which = pi/2

Answer 4

limits for r are 0 to 1, theta 0 to pi

Answer 5

I got 0 to pi /2 because its y...

Answer 6

\[\int\limits_{}{}\int\limits_{}{}dxdy=\int\limits_{}{}\int\limits_{}{}|\frac{\partial J(x,y)}{\partial (r, \theta)}|dr d \theta=\int\limits_{}{}\int\limits_{}{}r dr d \theta\]

Answer 7

Integrate out r from 0 to 1, then theta from 0 to pi.

Answer 8

You get \[\frac{\pi}{2}\]

Answer 9

ohh i see that thanks

Answer 10

welcome. i stopped on your question and went for a shower - thought someone was taking it.