Consider the following indefinite integral.

$\backslash$int $(7$x$^(3)+6$x$^(2)+50$x$+100)/($x$^(4)+25$x$^(2))$dx

The integrand has partial fractions decomposition:

$($a$)/($x$^(2))+($b$)/($x$)+($cx$+$d$)/($x$^(2)+25)$

where

a$=$

b$=$

c$=$

d$=$

Now integrate term by term to evaluate the integral.