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If ∫0x2f(t)dt=xln⁡x\int _ { 0 } ^ { x ^ { 2 } } f ( t ) d t = x \ln x

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If ∫0x2f(t)dt=xln⁡x\int _ { 0 } ^ { x ^ { 2 } } f ( t ) d t = x \ln x , where f is a continuous function, find f (1).

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