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9-14.

Multiple Choice: What is the average value of $y = x \sqrt { x ^ { 2 } + 1 }$ on the interval [ $0, 2$ ]?

$\frac { 5 } { 4 } \sqrt { 5 }$

$\frac { 5 } { 6 } \sqrt { 5 }$

$\frac { 1 } { 6 } ( 5 \sqrt { 5 } - 1 )$

$\frac { 1 } { 4 } ( 5 \sqrt { 5 } - 1 )$

$\frac { 1 } { 3 } ( 5 \sqrt { 5 } - 1 )$

Hint:

The average value of a function is computed using the formula:
To integrate, use substitution. Let $u = x^2 + 1$ .

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