# Thread: Polar Coor Intergration Help

1. ## Polar Coor Intergration Help

i need help on the follow problem

Ive tried this several time, and cant tell if my bounds are incorrect or if something else im doing is incorrect. I really need some help, my tutor couldn't do it either n shes better at math then i am.
Integrate f (x,y) over D using polar coordinates.

2. So you're integrating over the blue region in the plot below right? Then doesn't that red line go from $\pi/4$ to $3\pi/4$? Then the radius will go from where the red line intersects the line at $y=1/\sqrt{2}$ to one right? That's at the blue point. Can you show how the radius at the blue point is $r=\frac{csc(t)}{\sqrt{2}}$? Then the integral is:

$\int_{\pi/4}^{3\pi/4} \int_{\frac{\csc(t)}{\sqrt{2}}}^1 \frac{sin(t)}{r^4} dr dt$

Looks to me anyway. Go over it and double check everything.

3. you are correct sir

i actually figured it out little while ago, thanks for the help anyway

idk what i was doing wrong, i let maple do the work for me =-)