Question

the are bounded by xy =1,x=0, y=1and y=2 is​

Answer 1

Answer:

$log2$

Step-by-step explanation:

$area \: bounded \: by \: curve \: with \: lines$

Answer 2

The area are bounded by xy = 1, x = 0, y = 1 and y = 2 is ln 2.

Explanation:

Given:  

The area are bounded by x y = 1, x = 0, y = 1 and y = 2  

Solution:  

By plotting the points on the graph we can observe the region.

The area can be found by integrating with respect to y, where the limits are 1 and 2, therefore the equation becomes

$\text { Area }=\int_{1}^{2} \frac{1}{y} d y$

$=[\ln y]_{1}^{2}$

$=\ln 2$

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