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(i) The set of all values of a for which...

(i) The set of all values of a for which `f(x)=int_(0)^(x){-2(a^(2)-3a+2)sin2x+(a-1)}dx` doesn't posses any critical point.
(ii) Prove that `int_(0)^(x)[t.]dt=([x]([x]-1))/(2)+[x](x-[x])`, where [x] denotes greatest integer function.

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