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$[-/10$ Points$]$ BERRAPCALC$75\mathrm{.}3\mathrm{.}007.$MI$.$

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For the function, do the following.

$f(x)=2x$ from $a=2tob=4$

$($a$)$ Approximate the area under the curve from $a$ to $b$ by calculating a Riemann sum using $5$ rectangles. Use the method described in this example, rounding to three decimal places.

$$ square units

$($b$)$ Find the exact area under the curve from $a$ to $b$ by evaluating an appropriate definite integral using the Fundamental Theorem.

$$ square units