Evaluate the integral.

${\displaystyle \underset{-\frac{}{3}}{\overset{-\frac{}{4}}{}}}(7se{c}^{2}t+\frac{3}{t^2})dt$

${\displaystyle \underset{-\frac{}{3}}{\overset{-\frac{}{4}}{}}}(7se{c}^{2}t+\frac{3}{t^2})dt=$

$$

$($Type an exact answer, using radicals as needed.$)$