Convert the integral below to polar coordinates and evaluate the integral.

Lim(0→4/√2) ∫ Lim(y→√(16−y2)) ∫ xy dxdy

Instructions:
Enter the limits of integration and evaluate the integral to find the volume.

Step-by-step explanation:

We are trying to evaluate this integral.

The first thing that we have to do is understand this region in the plane.

If you graph it looks something like the photo I join.

Now we need to describe that same region in polar coordinates.

That same region in polar coordinates would be

Now remember that when we do the polar transformation we use the following formula

Then our integral would be

no association

step-by-step explanation:

if you have eyes and you can use them efficiently you can see that it just looks like random dots like do a line of best fit and like they're so spread out it's such a weak association you might as well consider it nonexistent