Solve the Problem $\int _ { 5 } ^ { 6 } \left( 4 x ^ { 3 } + 1 x \right) d x$

Multiple Choice

Solve the problem.
-Estimate the minimum number of subintervals needed to approximate the integral $\int _ { 5 } ^ { 6 } \left( 4 x ^ { 3 } + 1 x \right) d x$ with an error of magnitude less than $10 ^ { - 4 }$ using the Trapezoidal Rule.

A) 142
B) 317
C) 347
D) 174