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a=30;
b=130;
r=30;
syms x
y=(sqrt(r^2-(x-a)^2)+b);
sc=2*pi*(sqrt(r^2-(x-a)^2)+b)*sqrt(1+((a-x)/(y-b))^2);
int(sc,x)

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ans =

int(2*pi*((900 - (x - 30)^2)^(1/2) + 130)*(1 - (x - 30)^2/((x - 30)^2 - 900))^(1/2), x)


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