In using the technique of integration by parts, you must carefully choose which expression is u\displaystyle {u} . For the following problem, use the guidelines in this section to choose u\displaystyle {u} . Do not evaluate the integral.

x8ln(4x)dx\displaystyle \int{x}^{{{8}}}{\ln{{\left({4}{x}\right)}}}{\left.{d}{x}\right.}