Determine the pair of constant numbers a, b, c such that for a quadratic function f(x) \equal{} x^2 \plus{} ax \plus{} b, the following equation is identity with respect to x.
f(x \plus{} 1) \equal{} c\int_0^1 (3x^2 \plus{} 4xt)f'(t)dt
. calculusintegrationquadraticsfunctioncalculus computations