Solve the Problem $\left| \mathrm { E } _ { \mathrm { T } } \right|$

Multiple Choice

Solve the problem.
-Find an upper bound for $\left| \mathrm { E } _ { \mathrm { T } } \right|$ in estimating $\int _ { - 1 } ^ { 3 } \left( 4 \mathrm { x } ^ { 3 } + 8 \mathrm { x } \right) \mathrm { dx }$ with $\mathrm { n } = 10$ steps.

A) $\frac { 96 } { 25 }$
B) $\frac { 81 } { 50 }$
C) $\frac { 144 } { 25 }$
D) $\frac { 32 } { 25 }$