Decide Whether the Integral Converges $\int _ { 1 } ^ { 5 } \frac { 9 } { x ^ { \frac { 1 } { 3 } } } \mathrm {~d} x$

question 93

Multiple Choice

Decide whether the integral converges. If the integral converges, compute its value. $\int _ { 1 } ^ { 5 } \frac { 9 } { x ^ { \frac { 1 } { 3 } } } \mathrm {~d} x$

• A) \(\frac { 27 } { 2 } \left( 5 ^ { \frac { 2 } { 3 } } \right)\)
• B) \(\frac { 27 } { 2 } \left( 5 ^ { \frac { 2 } { 3 } } - 1 \right)\)
• C) \(27 \left( 5 ^ { \frac { 2 } { 3 } } - 1 \right)\)
• D) \(\frac { 9 } { 2 } \left( 5 ^ { \frac { 2 } { 3 } } + 1 \right)\)
• E) diverges

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