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1 vote

Calculating a surface integral of a surface by another surface

As Raul Fernandes Horta has noted we should consider excluding a smaller cylinder. Remark: this is a common practice in such questions, some other examples include open bounded $\Omega$ in $\mathbb{R}^...
Teodoras Paura's user avatar
0 votes

Area of the part of the cylinder $x^2+y^2=2ay$ outside the cone $z^2=x^2+y^2$

Consider cylindrical coordinates, $x^2 + y^2 = 2ay \implies r = 2a\sin(\theta)$ We also have the area element $dS = a\,dzd\theta$, consider a quarter of the total area and we will multiply it by 4 in ...
Teodoras Paura's user avatar
1 vote

How to find area of circle using double integral?

All the hints required - I think, they are already all in the comments. The only thing I'd suggest is using trigonometric substitution. Below is the proof of the formula of the area of a circle using ...
Konrad Banach's user avatar

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