Evaluate the Integral $$\int x ^ { 7 } \sec x ^ { 8 } d x$$

Multiple Choice

Evaluate the integral. The integral may not require integration by parts.
- $$\int x ^ { 7 } \sec x ^ { 8 } d x$$

A) $8 \ln \left| \sec x ^ { 8 } - \tan x ^ { 8 } \right| + C$
B) $x ^ { 9 } \sec x ^ { 9 } + C$
C) $\frac { 1 } { 8 } \ln \left| \sec x ^ { 8 } + \tan x ^ { 8 } \right| + C$
D) $\frac { 1 } { 7 } \ln \left| \sec x ^ { 8 } + \tan x ^ { 8 } \right| + C$