Let
$\displaystyle P\left( x \right)=2+3\left( x-4 \right)-4{{\left( x-4 \right)}^{2}}+3{{\left( x-4 \right)}^{3}}$
be the third-degree Taylor polynomial for $~g~$ centered at $~x=4\,$. Which of the following is the fourth-degree Taylor polynomial for $~h~$ centered at $~x=4~$ where $~h\left( x \right)=\int\limits_{4}^{x}{g\left( t \right)\text{ }dt}\,$?
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