Question

For the function, do the following. f(x) = 1 x   from  a = 1  to  b = 2. (a)...

For the function, do the following.

f(x) =

1
x

  from  a = 1  to  b = 2.

(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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Answer #1

Diagram for the curve is illustrated below :

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