1.

If \[\int_{0}^{x}{f(t)\,dt}=x+\int_{x}^{1}{t\,f(t)\,dt,}\] then the value of \[f(1)\] is [IIT 1998; AMU 2005]

A. 44228
B. 0
C. 1
D. -0.5
Answer» B. 0


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