Given $f ( x ) = e ^ { x } + x ; 0 \leq x \leq 2 , n = 6 ,$

question 68

True/False

Given $f ( x ) = e ^ { x } + x ; 0 \leq x \leq 2 , n = 6 ,$ set up a Riemann sum to approximate the area under the graph of f(x) on the given interval. Use the left endpoints. Is the following the correct sum?
$\frac { 1 } { 3 } \left[ 1 + \left( \mathrm { e } ^ { 1 / 3 } + \frac { 1 } { 3 } \right) + \left( \mathrm { e } ^ { 2 / 3 } + \frac { 2 } { 3 } \right) + ( \mathrm { e } + 1 ) + \left( \mathrm { e } ^ { 4 / 3 } + \frac { 4 } { 3 } \right) + \left( \mathrm { e } ^ { 5 / 3 } + \frac { 5 } { 3 } \right) \right]$

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