x^4 / x^3 = ?

$${\frac{{{\mathtt{x}}}^{{\mathtt{4}}}}{{{\mathtt{x}}}^{{\mathtt{3}}}}} = {\mathtt{x}}$$  

Hilft dir das weiter?

f(x)= (x^4+1) / x^3      ->  Stammfunktion  F(x) =  (x^4-1) /( 2x^2)

$${F}{\left({\mathtt{x}}\right)} = {\frac{\left({{\mathtt{x}}}^{{\mathtt{4}}}{\mathtt{\,-\,}}{\mathtt{1}}\right)}{\left({\mathtt{2}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{2}}}\right)}}$$

Gruß radix !