Apply the Trapezoidal Rule and Simpson's Rule to Approximate the Value

Multiple Choice

Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using 8 subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral.
$\int _ { 0 } ^ { 2 } \frac { 1 } { \sqrt { 1 + s ^ { 3 } } } d s$

A) The Trapezoidal rule gives $1.4010$ and Simpson's rule gives 1.4022.
B) The Trapezoidal rule gives $1.3973$ and Simpson's rule gives $1.4711$ .
C) The Trapezoidal rule gives $1.4010$ and Simpson's rule gives $1.4711$ .
D) The Trapezoidal rule gives $1.3973$ and Simpson's rule gives $1.4022$ .
E) The Trapezoidal rule gives $- 1.4010$ and Simpson's rule gives $- 1.4022$ .