${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{4dt}{\sqrt[\phantom{2}]{t}+4t\sqrt[\phantom{2}]{t}}$

Select one:

$a.$

$4se{c}^{-1}(2\sqrt[\phantom{2}]{t})+c$

$b.$

$4si{n}^{-1}(2\sqrt[\phantom{2}]{t})+c$

$4ta{n}^{-1}(2\sqrt[\phantom{2}]{t})+c$

$d.$

$4co{s}^{-1}(2\sqrt[\phantom{2}]{t})+c$