Question

Find the area, if it exists, in the first quadrant above y=1, and bounded by the y-axis and the curve xy=1

Answer 1

@ganeshie8

Answer 2

@ParthKohli

Answer 3

@dan815

Answer 4

@Hero

Answer 5

@iambatman

Answer 6

@Abhisar

Answer 7

@paki

Answer 8

@thomaster @geerky42

Answer 9

Ok so you have \(x = \dfrac{1}{y}\):
So from what I sketched, you have integral to take; \[\int_{1}^\infty\dfrac{dy}{y} ~~~=~~~ \lim_{a\to\infty}\int_1^a\dfrac{dy}{y}\]