Science

area uner an exponential

what is the area under y=e^-x from o to infinity

jadzia49 Fri 30/05/08 11:20

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jadzia49
Fri 30/05/08
11:52

Question Author

just found the answer thanks.answer is 1

fo3nix
Fri 30/05/08
16:32

-1.

You just integrate it.

factor30
Sat 31/05/08
08:33

Just trying to remember my O level maths.
I think integral of e^-x is -(e^-x).
So area = [-e^0]] - [-e^-∞]
= -1 - 0
=-1

But can area be -1.

Think it must be 1

fo3nix
Sat 31/05/08
10:40

Yea, exactly.

Area is a positive quantity.

jadzia49
Sat 31/05/08
11:21

Question Author

should be 0- (-1)=1

derrynoose
Sun 01/06/08
11:58

When substituting limits in definite Integration, the higher limit is substituted first, then the lower limit.This will give the area as +1in this case.
A negative outcome to the calculation of an area by definite integration is an indication of the location of the area i.e. below the axis if the integration is with respect to x.

fo3nix
Mon 02/06/08
12:19

Yea, above is totally correct.

I have no idea how I came to writing it as -1.

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