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.
$\int _ { 3 } ^ { 4 } \sqrt [ 4 ] { x } d x$

A) The Trapezoidal rule gives $1.366878$ and Simpson's rule gives $1.435222$ .
B) The Trapezoidal rule gives $- 1.366878$ and Simpson's rule gives $- 1.366906$ .
C) The Trapezoidal rule gives $1.366878$ and Simpson's rule gives $1.366906$ .
D) The Trapezoidal rule gives $1.366795$ and Simpson's rule gives $1.435222$ .
E) The Trapezoidal rule gives $1.366795$ and Simpson's rule gives 1.366906.