Question

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

Answer 1

Step-by-step explanation:

question is wrong because x=0 so xy=1 is not possible

Answer 2

Answer:

Area = ln 2

Step-by-step explanation:

First we draw the figure of given curves and bounded region. Please find attachment for figure.

Take small element of shaded region. Area of small rectangle

Area of rectangle = Length x Width

where, Length = x and Width = dy

dA=xdy

Integrate dA over 1 to 2

$A=\int dA$

$A=\int_1^2\dfrac{1}{y}dy$

$A=\ln y|_1^2$

$A=\ln 2-\ln 1$

$A=\ln 2-0$

$A=\ln 2$

Hence, The area of bounded region is ln 2