$[-/6$ Points$]$

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BERRAPCALC$75\mathrm{.}3\mathrm{.}011.$

PRACTICE $A$

For the function, do the following.

$f(x)=\frac{4}{x}$ from $a=1tob=4$

$($a$)$ Approximate the area under the curve from $a$ to $b$ by calculating a Riemann sum using $10$ rectafigles. Use the method described in this example, rounding to three decimal places.

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

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