Evaluate the Following Definite Integral $\int _ { 0 } ^ { 5 \sqrt { \pi } } z \cos \left( 7 z ^ { 2 } \right) d z$

Multiple Choice

Evaluate the following definite integral. $\int _ { 0 } ^ { 5 \sqrt { \pi } } z \cos \left( 7 z ^ { 2 } \right) d z$ Use a graphing utility to check your answer.

A) $- \frac { 1 } { 14 }$
B) $\frac { 1 } { 14 }$
C) $- 1$
D) 1
E) 0