Double integral, polar coordinates

[saxen]

Homework Statement

Evaluate $$\int$$$$\int$$T (x^2+y^2) dA, where T is the triangle with the vertices (0,0)(1,0)(1,1)

Homework Equations

The Attempt at a Solution

$$\int$$ d$$\theta$$ $$\int$$ r^3 dr

Thats how far I got, not really sure about boundries on r. First integrals boundrie should be 0 to pi/4. Is polar coordinates a good idea? Should I try some other change of variabel?

Help is appreciated

thanks!

 

[LCKurtz]

Polar coordinates can be made to work but they are not the natural way to work this problem. There are no circles involved in the region. Just set it up as a normal dydx integral.

 

[zzz3293]

I wouldn't do this in polar, though the x^2+y^2 makes it tempting...

Draw out the triangle and figure out the equations for the lines that make it up, use these lines as your bounds for your double integral.