Choose the correct answer in $\Large \int \normalsize \frac{10x^9+10^xlog_{e^{10}}dx}{x^{10}+{10}^x}$ equals

Question

$\begin{array}{1 1} (A)\;{10}^x-x^{10}+C \\ (B)\;{10}^x+x^{10}+C \\ (C)\;({10}^x-x^{10})^{-1}+C \\ (D)\;log({10}^x+x^{10})+C\end{array}$