3mmm looks like tiit is in need of creating another forum for higher mathematics.
\int_{-1}^{0}{\int_{-\sqrt{1-x^{2}}}^{0}{\frac{2}{1+\sqrt{x^{2}+y^{2}}}}}dydx
-
UP 0 DOWN 0 1 7
7 Answers
62use x= r cos θ
y= r sin θ
The integral limits will be r=0 to 1
theta going from 0 to pi/2
\int_{0}^{\pi/2}{\int_{0}^{1}{\frac{2r}{1+r}}}drd\theta
Which can be easily solved :)
3
11i took it -1 that's y i got messed up.
Please reconfirm the upper limit
62upper limit is 1...
because if you seee the limits (forget the function)
and draw the region on the xy axis... then
the region will be a quarter circle...
see x goes from -1 to 0 (so that gives us -ve x axis side on the graph )
Then you have y going from -√1-x2 to 0 (which is a part of the circle)
so if you convert this to the r, theta format you will have radius as +ve.. radius cant be -ve