find the area of the region inside one loop of the lemniscate r^2=4sin2theta

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- April 27th 2009, 04:37 PMleinadwerdnaPolar Curves stuff
find the area of the region inside one loop of the lemniscate r^2=4sin2theta

- April 27th 2009, 05:05 PMSoroban
Hello, leinadwerdna!

Quote:

Find the area of the region inside one loop of the lemniscate:

Formula: .

If you recognize the curve or can make a sketch, you see that

. . it is a figure-8 tipped so the loops are in Quadrants 1 and 3.

We already have . . . all we need are the limits.

Set

*There!*. . .

Got it?