- #1
LASmith
- 21
- 0
Homework Statement
Evaluate
f(x,y)=y2[itex]\sqrt{1-x2}[/itex]
over the region
x2+y2< 1
Homework Equations
The Attempt at a Solution
using x limits between -1 & 1 followed by the y limits of 0 & [itex]\sqrt{1-x2}[/itex]
[itex]\int[/itex][itex]\int[/itex]y2[itex]\sqrt{1-x2}[/itex].dy.dx
Evaluating this and multiplying be 2 to get the whole circle I get 0 as the 1 and -1 limits both give zero as the answer. Therefore I used the x limits of 0 & 1 and multiplied by 4 instead, this gave an answer of 4/9, however I have been given the answer of 32/45, and I have no idea how this could possibly be wrong.