perimeter (entire arc length ) of x^(2/3) + y^(2/3) =a^(2/3)

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find the perimeter (entire arc length ) of x^(2/3) + y^(2/3) =a^(2/3)

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******* 1 1	perimeter (entire arc length ) of x^(2/3) + y^(2/3) =a^(2/3) ---------------------------------------------- ----------------------------------------------- change over to parametric form with x = acos³θ ; y = asin³θ dx = -3a cos² θ sinθ dθ use ds = sqrt [ (dx/dθ )² + (dy/dθ )² ] dθ or ds = sqrt [ 1 + (dy/dx )² ] dx answer and some steps are given below ================ * * ================ other problems on applications of integration like area ,volume etc integration formulae problems on integration
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