Consider the function f(x)=10x10+6x710x48\displaystyle {f{{\left({x}\right)}}}={10}{x}^{{{10}}}+{6}{x}^{{{7}}}-{10}{x}^{{{4}}}-{8}.
An antiderivative of f(x)\displaystyle {f{{\left({x}\right)}}} is F(x)=Axn+Bxm+Cxp+Dxq\displaystyle {F}{\left({x}\right)}={A}{x}^{{n}}+{B}{x}^{{m}}+{C}{x}^{{p}}+{D}{x}^{{q}} where
A\displaystyle {A} is  

and n\displaystyle {n} is  


and B\displaystyle {B} is  

and m\displaystyle {m} is  


and C\displaystyle {C} is  

and p\displaystyle {p} is  


and D\displaystyle {D} is  

and q\displaystyle {q} is