$[-/10$ Points$]$

BERRAPCALC$75\mathrm{.}3\mathrm{.}007.$MI$.$

ASK YOUR TEACH

For the function, do the following.

$f(x)=2x$ from $a=3tob=5$

$($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