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(1) If f'(x)=xe^(x) and f(0)=1, then find f(x).(2) If f'(x)=logx and f(1)=0 ,then prove that f(x)=x(logx-1)+1

Answer» (1) If f'(x)=xe^(x) and f(0)=1, then find f(x).
(2) If f'(x)=logx and f(1)=0 ,then prove that f(x)=x(logx-1)+1


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