im stumped calculus circumference arc. how come we cant use integral C(x)dx to find surfacea area. C(x) is the circumference so its 2pi*r , and dx is the thickness.
so why isnt surface area integral 2pi * r * dx
instead it is integral 2pi y sqrt ( 1 + dy/dx^2)dx

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You're trying to compute the area of a circle?

so say you have f(x)>0 in the first quadrant

im doing the formula for surface area , made by revolving a curve about an axis .

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