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Find the average value of $f( x ) =\dfrac{ { x }^{ 3 }+{ 3x }^{ 2 }+x }{x}$ on the interval $[1, 3]$ using the Trapezoidal Method with $2$ trapezoids of equal subintervals.

A

$\dfrac{34}{3}$

B

$\dfrac{17}{3}$

C

$25$

D

$\dfrac{23}{2}$

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