Find the Smallest N Such That the Error Estimate in the Approximation

Multiple Choice

Find the smallest n such that the error estimate in the approximation of the definite integral $\int _ { 0 } ^ { 1 } 2 \sin \left( x ^ { 2 } \right) d x$ is less than $0.00001$ using the Trapezoidal Rule. Use a graphing utility to estimate the maximum of the absolute value of the second derivative.

A) 208
B) 189
C) 196
D) 201
E) 188