suppose the integral of..?

Question

suppose the integral of f (t) dt from 1 to x is x^2 - 2x + 1.
Then what's f (x)?

Answer 1

If ∫f(x)dx = y(x), then f(x) = d y(x) / dx; So to get the answer, take the derivative of the expression x^2 - 2x + 1. The value of the integral at limit 1 is a constant and will not appear in the derivative.