Calculus
# Antiderivatives

Which function $f(x)$ satisfies $f'(x)=6x^2-8x+9,$ $f(1)=12?$

If $f(x)=\int \left( 1+2x+3x^2+\cdots + 8x^{7} \right)dx$ and $f(0)=8,$ what is the value of $f(2)?$