1003124304

Given a function $f(x)=a{x}^4+bx$, find real numbers $a$ and $b$, such that $\underset{0}{\overset{1}{\int }}f(x)\mathrm{d}x=27$ and $\underset{-1}{\overset{0}{\int }}f(x)\mathrm{d}x=57$.