Solve the Problem $\left| E _ { S } \right|$ In Estimating

Multiple Choice

Solve the problem.
-Find an upper bound for $\left| E _ { S } \right|$ in estimating $\int _ { 1 } ^ { 2 } \left( 4 x ^ { 5 } - 2 x \right) d x$ with $n = 6$ steps.

A) $\frac { 16 } { 243 }$
B) $\frac { 1 } { 243 }$
C) $\frac { 2 } { 243 }$
D) $\frac { 1 } { 486 }$