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f(x) = 1/x   from  a = 1  to  b = 3. (a) Approximate the area under the curve from...

f(x) = 1/x

  from  a = 1  to  b = 3.

(a) Approximate the area under the curve from a to b by calculating a Riemann sum using 10 rectangles. Use the method described in Example 1 on page 351,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

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