Evaluate the Differential Is Exact $$\int _ { ( 0,0,0 ) } ^ { ( 3,7,9 ) } ( 3 x + 1 ) e ^ { 3 x } d x + z d y + y d z$$

Multiple Choice

Evaluate. The differential is exact.
- $$\int _ { ( 0,0,0 ) } ^ { ( 3,7,9 ) } ( 3 x + 1 ) e ^ { 3 x } d x + z d y + y d z$$

A) $3 \mathrm { e } ^ { 9 } + 64$
B) $3 e ^ { 9 } + 63$
C) $3 \mathrm { e } ^ { 9 } + 16$
D) 0