- #1
the_godfather
- 22
- 0
Homework Statement
[tex]\int\int[/tex] y [tex]\sqrt{x^2+y^2}[/tex]dx dy
Homework Equations
x[tex]\geq[/tex] 0, y[tex]\geq[/tex] 0, x^2+y^2 [tex]\leq[/tex] 4
The Attempt at a Solution
first of all, what are the limits of integration
rearranging x^2+y^2 [tex]\leq[/tex] 4 you get x = 2 - y
this would be my limit of integration for the inner integral yes?
the limits for the outer integral cannot be a function so this would go between 2 and 0?
when the first integration is performed can the square root and y be multiplied out to give
yx + y^2 or is it a case of integrating by parts/substitution?