Hi, I have been given the task of converting this integral:
Into polar coordinates. I don't really know where to begin. I found that
is equal to and
is equal to ,
But I don't know how that might help me. Any help?
Thanks,
Peter
Hi, I have been given the task of converting this integral:
Into polar coordinates. I don't really know where to begin. I found that
is equal to and
is equal to ,
But I don't know how that might help me. Any help?
Thanks,
Peter
The first thing you may want to note is that the integrad
is symmetric with respect to the line
The line also symmetrically divides your region of integration. You can use this symmetry to your advantage. You only need to integrate over half of the region upto the line or from the line to the top.
This will be easier to convert
to polar coordinates!
[img]22704[/img]