- #1

Andrew123

- 25

- 0

## Homework Statement

ok change the region R = { (x,y) | 1 <= X^2 + y^2 <= 4 , 0 <= y <= x } to polar region and perform the double integral over region R of z=arctan(y/x)dA

## Homework Equations

r^2 = x^2 + y^2, x = r*sin(@), y = r * cos (@)

## The Attempt at a Solution

i got R = { (rcos(@), rsin(@) | 1 <= r <= 2 , 0 <= @ <= pi/4 }

and 3/8 * pi ^2 answer in back of book is 3/64 * pi ^2

thankyou for your time!