Evaluate the integral.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{16t^3-5t^{2}27t-5}{(t^{2}1)(t^{2}2)}dx$

Select the correct answer.

$\frac{a}{2}ln(t^{2}1)\frac{5}{2}ln(t^{2}2)-(5\sqrt[\phantom{2}]{2}{)}^{2}ta{n}^{-1}(t\sqrt[\phantom{2}]{2})c$

$\frac{11}{2}ln(t^{2}1)\frac{16}{2}ln(t^{2}2)-(\frac{5}{\sqrt[\phantom{2}]{2}})ta{n}^{-1}(\frac{t}{\sqrt[\phantom{2}]{2}})c$

$\frac{3}{2}ln(t^{2}1)\frac{15}{2}ln(t^{2}2)-(\frac{5}{\sqrt[\phantom{2}]{2}})ta{n}^{-1}(\frac{t}{\sqrt[\phantom{2}]{2}})c$