Let $f ( x ) = \sqrt { x ^ { 2 } + 5 }$    

1. Graph the function for $1\le x\le6$.

   Hint:

   This is not a parent function, so use a graphing calculator to generate the curve.

2. Approximate the area under the curve over the given interval by using both five left endpoint rectangles and five right endpoint rectangles.

   Left endpoint hint:

   L = 1(f(1) + … + f(5))

   Right endpoint hint:

   R = 1(f(2) + … + f(6))