Using the Trapezoidal Rule with N = 3, the Approximated $\int _ { - 1 } ^ { 0 } \frac { 1 } { \sqrt { 1 - x ^ { 3 } } } d x,$

Multiple Choice

Using the Trapezoidal Rule with n = 3, the approximated value of $\int _ { - 1 } ^ { 0 } \frac { 1 } { \sqrt { 1 - x ^ { 3 } } } d x,$ to three decimal places, is

A) 1.357
B) 1.216
C) 0.905
D) 0.894
E) 0.978