Using the method of u$-$substitution,

$24(5$x$4)2$dx$=$abf$($u$)$du

where

u$=5$x$4($enter a function of x$)$

du$=5$ dx $($enter a function of x$)$

a$=6($enter a number$)$

b$=16($enter a number$)$

f$($u$)=15$u$2($enter a function of u$).$

The value of the original integral is $421400.$