Let's do some derivative #2

Calculus Level 2

0x2(1+t)f(t)dt=6x4 \large \int_0^{x^2} (1+t) f(t) \, dt = 6x^4

Find a real valued function ff defined and continuous for x0x\ge 0 such that the equation above is true. Submit your answer as the value of f(1)f(1) .

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