To get the bounds, try looking for the natural domain of the original function.
Find the length of the curve? NO bounds are given.
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length of the curve formula
using wolframalpha I got this
int sqrt( 1+ ((1-2 x)/(2 sqrt(x-x^2))+1/(2 sqrt(1-x) sqrt(x)))^2) dx - Wolfram|Alpha
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So, Is there any answer for this thing??
Thanks