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Decide Whether the Integral Converges 99(1(x+8)15)dx\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. 99(1(x+8) 15) dx\int _ { - 9 } ^ { 9 } \left( \frac { 1 } { ( x + 8 ) ^ { \frac { 1 } { 5 } } } \right) d x


A) (17151) \left( 17 ^ { \frac { 1 } { 5 } } - 1 \right)
B) 54(17451) \frac { 5 } { 4 } \left( 17 ^ { \frac { 4 } { 5 } } - 1 \right)
C) (17251) \left( 17 ^ { \frac { 2 } { 5 } } - 1 \right)
D) 54(1745+1) - \frac { 5 } { 4 } \left( 17 ^ { - \frac { 4 } { 5 } } + 1 \right)
E) diverges

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