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Chapter 4: Q. 23 (page 399)

Express the signed area between the graph of y=1x and the x-axis from x=eto x=10in terms of logarithms.

Short Answer

Expert verified

The signed area between the graph of y=1x and the x-axis from x=eto x=10 is ln10-1.

Step by step solution

01

Step 1. Given Information.

The graph of the function:

y=1x

The function is from x=etox=10.

02

Step 2. Find the signed area.

The signed are is given by,

鈭�e101xdx=[lnx]e10=ln10-lne=ln10-1

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鈭�36fxdx.
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