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-3 votes
1 answer
83 views

set up an integral when the following functions revolve around the $x$, $y$ and $y=\frac{1}{2}$ [closed]

$y=\sin x$, $y=\frac{1}{2}$, $x=0$ i got the same integral which is $$ \int_0^{ \frac{5 \pi}{6}} \pi \left(\sin^2(x)- \frac{1}{4}\right) \, \mathrm d x. $$ Anyone help
Perfectoid's user avatar
2 votes
2 answers
225 views

Volume of a circle $x^2 +y^2 \leq 1$ which is revolving around a line $x+y=2$.

I want to compute the volume of a circle $x^2 +y^2 \leq 1$ which is revolving around a line $x+y=2$. Usually I solved problems about solids revolving around axis and non axis horizontal and vertical ...
Sajib Iglesias's user avatar