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4. a) Find the arc length of the function y = In(1 -x) in the interval [0, ;]. b) Find the function f(x) so that,

4. a) Find the arc length of the function y = In(1 -x) in the interval [0, ;]. b) Find the function f(x) so that, for x 2 0, its arc length in the interval [0, x] is equal to 2x + f(x)

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