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 4 subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral.
$\int _ { 4 } ^ { 7 } \frac { 1 } { \sqrt { t } \sqrt { 9 - t } } d t$

A) The Trapezoidal rule gives $0.7100$ and Simpson's rule gives $0.7005$ .
B) The Trapezoidal rule gives $- 0.7028$ and Simpson's rule gives $- 0.7005$ .
C) The Trapezoidal rule gives $0.7100$ and Simpson's rule gives $0.7380$ .
D) The Trapezoidal rule gives $0.7028$ and Simpson's rule gives $0.7005$ .
E) The Trapezoidal rule gives $0.7028$ and Simpson's rule gives $0.7380$ .