Evaluate the Integral Using Integration by Parts $\int \sec ^ { 4 } x d x$

Multiple Choice

Evaluate the integral using integration by parts.
- $\int \sec ^ { 4 } x d x$

A) $\sec ^ { 2 }$ x tan x + tan x + C
B) 4 $\sec ^ { 3 }$ x tan x+ C
C) $\frac { 1 } { 5 }$ $\sec ^ { 5 }$ x tan x + C
D) $\frac { 1 } { 3 }$ $\sec ^ { 2 }$ x tan x + $\frac { 2 } { 3 }$ tan x + C