Solve the Differential Equation $\frac { d P } { d x } = 15 x ^ { 4 } - 5 , \quad P ( - 2 ) = 8$

Multiple Choice

Solve the differential equation. $\frac { d P } { d x } = 15 x ^ { 4 } - 5 , \quad P ( - 2 ) = 8$

A) $P ( x ) = 3 x ^ { 5 } + 5 x$
B) $P ( x ) = 3 x ^ { 5 } + 94$
C) $P ( x ) = 3 x ^ { 5 } - 5 x + 94$
D) $P ( x ) = 60 x ^ { 3 } - 5 x + 94$
E) $P ( x ) = 3 x ^ { 5 } + C$