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Is there someway to find the exact area of a blob using integrals? 
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#1
Feb2612, 06:47 PM

P: 198

Someone told me Isaac Newton developed some infinitesimal triangle series to find the area of a random blob, but I think there might be some way to do it this way by drawing many lines from a central point to the edge, although that would make more of a pie slice, but is there some way to calculate the area of that pie slice using relative integrals?



#2
Feb2712, 08:18 AM

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Yes, it is simple if you can write the boundary of the "blob" in terms of integrable functions! That's the hard part.



#3
Feb2712, 04:33 PM

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#4
Feb2712, 08:13 PM

P: 1,072

Is there someway to find the exact area of a blob using integrals?
A pie slice would be simple. You integrate in polar coordinates over the radius and angle. The boundaries are then (assuming a normal slice of pie): radius (0,r_o) and angle (0, theta)



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