Convert the integral below to polar coordinates and evaluate the integral.
∫5√2 0, ∫√25 - y^2 y xydxdy

I suppose the integral is

The integration region corresponds to a sector of a cirlce with radius 5 subtended by a central angle of π/4 rad. We can capture this region in polar coordinates by the set

Then , , and . So the integral becomes

the answer is d

the answer is in the first quadrant, which make the y-int positive.

since the dots are going down, therefore the correlation is negative

i hope it is right.