So I was wondering, if we are given, say a double integral, where the bounds are in terms of x,y. Are there any algebraic ways to find what the bounds are for polar coordinates? I always just draw the region and then find the bounds from that, but I assume you can simply substitute the polar coordinates into the bounds and solve for $r$?What about $\theta$?
2026-03-27 22:03:04.1774648984
Algebraic way to determine the bounds for double/triple integrals.
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