Question: Find a function f and a positive number a such that f x 12x a 1 2 f t 2 160 dt 62 6x 2

Find a function f and a positive number a such that
f x 12x a 1 2 f t 2 160 dt 62

Find a function f and a positive number a such that f x 12x a 1 2 f t 2 160 dt 62 6x 2 t6

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