Evaluate the Definite Integral of the Algebraic Function $\int _ { 5 } ^ { 9 } 9 \left| z ^ { 2 } - 36 \right| d z$

Multiple Choice

Evaluate the definite integral of the algebraic function. $\int _ { 5 } ^ { 9 } 9 \left| z ^ { 2 } - 36 \right| d z$ Use a graphing utility to verify your results.

A) $- 516$
B) 516
C) 618
D) 1185
E) $- 1974$