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 20 subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral.
$\int _ { 1 } ^ { 2 } \left( 4 z ^ { 2 } + 7 \right) d z$

A) The Trapezoidal rule gives $16.3400$ and Simpson's rule gives 17,1518 .
B) The Trapezoidal rule gives $16.3400$ and Simpson's rule gives 16.3333.
C) The Trapezoidal rule gives $- 16.3350$ and Simpson's rule gives $- 16.3333$ .
D) The Trapezoidal rule gives $16.3350$ and Simpson's rule gives 16.3333.
E) The Trapezoidal rule gives $16.3350$ and Simpson's rule gives 17.1518.