Confusing integral!

  • Thread starter _Steve_
  • Start date
  • #1
19
0

Homework Statement


0e-t dt
(integral from 0 -> ∞)

Homework Equations





The Attempt at a Solution


so far, i have...
0e-t dt
={-e-t}0
= -e-∞ - -e0
= 0 + 1 = 1

but looking at a graph, it approaches zero. What am I doing wrong??
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
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251
Welcome to PF!

Hi _Steve_! Welcome to PF! :smile:
but looking at a graph, it approaches zero. What am I doing wrong??

Nothing! :smile:

The graph starts at 1, and ends approaching zero.

The integral is the area under it, and it's so thin at the "infinity" end that the total area is 1. :wink:
 
  • #3
19
0
Oh, hahaha, now I feel like an idiot :tongue:
Thanks!
 
  • #4
tiny-tim
Science Advisor
Homework Helper
25,836
251
Oh, hahaha, now I feel like an idiot :tongue:
Thanks!

he he! :biggrin:

my work here is done! o:)
 

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