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find the area under one ach of the cycloid x = a(t-sint) , y =a(1-cost)


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area under one ach of the cycloid x = a(t-sint) , y =a(1-cost)
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x = a(t-sint)
dx = a(1 - cos t)
one arch is formed between t =0 and t =2 pi
use the formula integral of ydx with the above limits after changing to t
answer and  some steps are given below
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area of a cycloid

other problems on integration
integration formulae






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