Find the Integral $\int x^{5} \ln x d x$ A) $\frac{1}{6} x^{6}(6 \ln x-1)+C$

Multiple Choice

Find the integral. $\int x^{5} \ln x d x$

A) $\frac{1}{6} x^{6}(6 \ln x-1) +C$
B) $\frac{1}{36} x^{6}(\ln x-1) +C$
C) $\frac{1}{6} x^{5}+\frac{1}{x}+C$
D) $\frac{1}{36} x^{6}(6 \ln x-1) +C$