Help please !

Question

Help please !

anonymous · Answer

attachment

mathmale · Answer

The best hint I can give you at this point is that you should be drawing the region of integration in the xy plane.  As given, this area involves y increasing from 0 to 1 and x increasing from Sqrt(y) to 1.  Have you graphed this?  If not, please do so.

Next, figure out what the limits would be if you integrate with respect to x first and y second.

anonymous · Answer

hey @mathmale

tkhunny · Answer

$y\in [0,1]$
$x\in[\sqrt{y},1]$

Is it easy enough to see that we are stuck in the Unit Square next to the Origin in the 1st Quadrant?

Graph all these things:

$y = 0$
$y = 1$
$x = 1$
$x = \sqrt{y} \rightarrow y = x^{2}$

anonymous · Answer

when I evaluated I got pi/86 ??

mathmale · Answer

Sorry for the delays.  OpenStudy is slow right now, and I've had to struggle a bit to understand those limits of integration.  One thing is clear, Emineyy:  you do need to draw the region in the xy plane:  the instructions say, "Draw a neat sketch..."  At long last I figured out that that region will look like this:|dw:1397865368388:dw|