Solve the Problem $| E_ S |$ In Estimating $\int _ { 1 } ^ { 3 } \left( 2 x ^ { 4 } - 2 x \right) d x$

Multiple Choice

Solve the problem.
-Find an upper bound for $| E_ S |$ in estimating $\int _ { 1 } ^ { 3 } \left( 2 x ^ { 4 } - 2 x \right) d x$ with $n = 6$ steps.

A) $\frac { 32 } { 81 }$
B) $\frac { 8 } { 1215 }$
C) $\frac { 4 } { 1215 }$
D) 1