Rewrite the rational expression using the method of partial fractions.

$4$y$25$y $12$y$($y $+2)($y $3)$

$=$

$2$

y

$+$

$95$

y $+2$

$+$

$15$

y $3$

Evaluate the integral.

$21$

$$

$4$y$25$y $12$y$($y $+2)($y $3)$

$$dy