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

Name: If $\int _ { 0 } ^ { x ^ { 2 } } f ( t ) d t = x \ln x$ , where f is a continuous function, find f (1).
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The Answer of If $\int _ { 0 } ^ { x ^ { 2 } } f ( t ) d t = x \ln x$ , where f is a continuous function, find f (1).

If ∫0x2f(t)dt=xln⁡x\int _ { 0 } ^ { x ^ { 2 } } f ( t ) d t = x \ln x∫0x2​f(t)dt=xlnx

If $\int _ { 0 } ^ { x ^ { 2 } } f ( t ) d t = x \ln x$