- #1

- 555

- 19

quick question really.

## Homework Statement

Find the area bound by the x axis, [itex]x = 1[/itex], [itex]x = 4[/itex] and [itex]y = 2/x[/itex]

## Homework Equations

## The Attempt at a Solution

Representing this graphically, the question is equivalent to performing the definite integral of [itex]y = 2/x[/itex] from [itex]1[/itex] to [itex]4[/itex]. Right?

Which would result in the area being equal to [itex]2 ln(4)[/itex]

It seems painfully obvious but this question has made me doubt myself so I wanted to check I haven't missed anything obvious... i.e is there any reason to do the longhand of subtracting the smaller areas from the larger ones.

Thanks,

BOAS