To evaluate

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(2x3)e^{5x}dx$

we should integrate by parts with

$u=e^{5x},dv=(2x3)dx$

$u=2x3,dv=e^{5x}dx$

$u=x,dv=e^{x}dx$

$u=e^x,dv=xdx$