Decide Whether the Integral Converges $\int _ { - 9 } ^ { 9 } \left( \frac { 1 } { ( x + 8 ) ^ { \frac { 1 } { 5 } } } \right) d x$

question 53

Multiple Choice

Decide whether the integral converges. If the integral converges, compute its value. $\int _ { - 9 } ^ { 9 } \left( \frac { 1 } { ( x + 8 ) ^ { \frac { 1 } { 5 } } } \right) d x$

• A) \(\left( 17 ^ { \frac { 1 } { 5 } } - 1 \right)\)
• B) \(\frac { 5 } { 4 } \left( 17 ^ { \frac { 4 } { 5 } } - 1 \right)\)
• C) \(\left( 17 ^ { \frac { 2 } { 5 } } - 1 \right)\)
• D) \(- \frac { 5 } { 4 } \left( 17 ^ { - \frac { 4 } { 5 } } + 1 \right)\)
• E) diverges

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