- #1
Reshma
- 749
- 6
Find the area of a figure bounded by the equilateral hyperbola [itex]xy = a^2[/itex], the x-axis, and the lines [itex]x = a[/itex], [itex]b = 2a[/itex].
My work:
The equations of the lines and curves involved here are:
[tex]xy = a^2[/tex]
[tex]y = 0[/tex]
[tex]x = a[/tex]
I don't know how b=2a is treated as an equation of a line here & hence I am puzzled as how to get the limits for the definite integral here. Well the formula I tried using is(Q stands for area):
[tex]Q = \int_a^b [f_1(x) - f_2(x)]dx[/tex]
Guidance needed.
My work:
The equations of the lines and curves involved here are:
[tex]xy = a^2[/tex]
[tex]y = 0[/tex]
[tex]x = a[/tex]
I don't know how b=2a is treated as an equation of a line here & hence I am puzzled as how to get the limits for the definite integral here. Well the formula I tried using is(Q stands for area):
[tex]Q = \int_a^b [f_1(x) - f_2(x)]dx[/tex]
Guidance needed.