- #1
BOAS
- 553
- 19
Hello,
quick question really.
Find the area bound by the x axis, [itex]x = 1[/itex], [itex]x = 4[/itex] and [itex]y = 2/x[/itex]
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
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