Solve the Problem $\int _ { 1 } ^ { 4 } \left( 4 x ^ { 2 } + 7 \right) d x$

Multiple Choice

Solve the problem.
-Estimate the minimum number of subintervals needed to approximate the integral $\int _ { 1 } ^ { 4 } \left( 4 x ^ { 2 } + 7 \right) d x$ with an error of magnitude less than $10 ^ { - 4 }$ using the Trapezoidal Rule.

A) 213
B) 849
C) 425
D) 82