Decide Whether the Integral Converges $\int _ { - 4 } ^ { 10 } \frac { 5 } { ( x + 4 ) ^ { \frac { 1 } { 2 } } } \mathrm {~d} x$

question 48

Multiple Choice

Decide whether the integral converges. If the integral converges, compute its value. $\int _ { - 4 } ^ { 10 } \frac { 5 } { ( x + 4 ) ^ { \frac { 1 } { 2 } } } \mathrm {~d} x$

• A) \(5 \sqrt { 14 }\)
• B) \(- 5 \sqrt { 14 }\)
• C) \(- 20 \sqrt { 14 }\)
• D) \(10 \sqrt { 14 }\)
• E) diverges

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