Determine the Integral by Making an Appropriate Substitution $\int ( x - 1 ) ^ { 7 } d x$

question 123

Multiple Choice

Determine the integral by making an appropriate substitution.
- $\int ( x - 1 ) ^ { 7 } d x$

• A) \(\frac { 1 } { 2 }\) \(x ^ { 2 }\) + \(\frac { 1 } { 8 }\) \(( x - 1 ) ^ { 8 }\) + C
• B) \(\frac { 1 } { 9 }\) \(( x - 1 ) ^ { 9 }\) + \(\frac { 1 } { 8 }\) \(( x - 1 ) ^ { 8 }\) + C
• C) \(\frac { 1 } { 8 }\) \(( x - 1 ) ^ { 8 }\) + C
• D) \(\frac { 1 } { 16 ( x - 1 ) ^ { 8 } }\) + C

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