Use the definition of area as a limit to find the area of the region that lies under the graph of $f ( x ) = 2 x$ over the interval $1 \leq x \leq 3$ .

Name: Use the definition of area as a limit to find the area of the region that lies under the graph of $f ( x ) = 2 x$ over the interval $1 \leq x \leq 3$ .
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The Answer of Use the definition of area as a limit to find the area of the region that lies under the graph of $f ( x ) = 2 x$ over the interval $1 \leq x \leq 3$ .

Use the Definition of Area as a Limit to Find f(x)=2xf ( x ) = 2 xf(x)=2x

Use the Definition of Area as a Limit to Find $f ( x ) = 2 x$