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    Revolution of integrals - astroids

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    If f(θ) is given by: f(θ)=6cos^3θ and g(θ) is given by: g(θ)=6sin^3θ
    Find the total length of the astroid described by f(θ) and g(θ).
    (The astroid is the curve swept out by (f(θ), g(θ)) as θ ranges from 0 to 2pi)

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    Solution Preview

    Please see attach file.

    Let , ss you can check, its Cartesian equation is .
    It is trace exactly ...

    Solution Summary

    The expert finds the total length of the asteroid. The total length of ranges are given.