We will use one of the formulas for arc length:

`int_a^b sqrt(1+(dx/dy)^2) dy`

`x=(1/8)y^4+(1/4)y^(-2)`

`dx/dy = (1/2)y^3-(1/2)y^(-3)`

`(dx/dy)^2 = (1/4)y^6 - (1/2) + (1/4)y^(-6)`

`1+(dx/dy)^2 = (1/4)y^6 + 1/2 +...

(The entire section contains 99 words.)

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