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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Allen Ginsberg

An influential American poet and writer, best known for his role in the Beat Generation and his landmark poem "Howl," which addressed issues of sexual repression, freedom, and societal constraints.

Howl

A poem written by Allen Ginsberg in 1955, known for its controversial discussion of homosexuality and critique of capitalism and conformity in the post-war United States.

Conformism

The behavior of aligning with group norms, values, and expectations, often at the expense of individuality or personal opinions.