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If f(x)={ax^3+b, for 0 le x le 1 and 2co...

If `f(x)={ax^3+b,` for `0 le x le 1 and 2cospix+tan^-1x,` for `1 < x le 2` be the differentiable function in `[0,2],` then find `a and b,` (where [.] denotes the greatest integer function).

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