Evaluate the definite integral

${\displaystyle \underset{5}{\overset{6}{}}}(\frac{d}{dt}\sqrt[\phantom{2}]{4+3t^4})dt$

using the Fundamental Theorem of Calculus.

You witl need accuracy to at least $4$ decimal places for your numerical answer to be accepted. You can also leave your answer as an algebraic expression involving square roots.

${\displaystyle \underset{5}{\overset{6}{}}}(\frac{d}{dt}\sqrt[\phantom{2}]{4+3t^4})dt$

$=$