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 10 subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral. ​ ​

A) The Trapezoidal rule gives 13.7000 and Simpson's rule gives 14.3588.
B) The Trapezoidal rule gives 13.7000 and Simpson's rule gives 13.6667.
C) The Trapezoidal rule gives -13.6750 and Simpson's rule gives -13.6667.
D) The Trapezoidal rule gives 13.6750 and Simpson's rule gives 13.6667.
E) The Trapezoidal rule gives 13.6750 and Simpson's rule gives 14.3588.