Solve the Differential Equation $\frac { d f } { d z } = \frac { 4 z + 7 } { \left( 2 z ^ { 2 } + 7 z + 2 \right) ^ { 2 } }$

Multiple Choice

Solve the differential equation. $\frac { d f } { d z } = \frac { 4 z + 7 } { \left( 2 z ^ { 2 } + 7 z + 2 \right) ^ { 2 } }$

A) $f ( z ) = \frac { 2 z + 7 } { \left( 2 z ^ { 2 } + 7 z + 2 \right) } + C$
B) $f ( z ) = \frac { 2 } { \left( 2 z ^ { 2 } + 7 z + 2 \right) } + C$
C) $f ( z ) = \frac { 7 } { \left( 2 z ^ { 2 } + 7 z + 2 \right) } + C$
D) $f ( z ) = \frac { - 1 } { \left( 2 z ^ { 2 } + 7 z + 2 \right) } + C$
E) $f ( z ) = \frac { 1 } { \left( 2 z ^ { 2 } + 7 z + 2 \right) } + C$