A function f(x)f(x)f(x) has the property that ∫0xf(t)dt=x2+∫x1tf(t)dt\int_0^x f(t) dt = x^2 + \int_x^1 t f(t) dt∫0xf(t)dt=x2+∫x1tf(t)dt. What is f(x)f(x)f(x)?
f(x)=2xf(x) = 2xf(x)=2x
f(x)=xf(x) = xf(x)=x
f(x)=2x−1f(x) = 2x - 1f(x)=2x−1
f(x)=x2f(x) = x^2f(x)=x2