Improper Integral

  • Thread starter Jbreezy
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  • #1
Jbreezy
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Homework Statement


It just wants me to tell whether this is improper or not.
[0,infinity] e^(-x^3) dx

Homework Equations




I say Yes

The Attempt at a Solution

 

Answers and Replies

  • #2
haruspex
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I don't see why it would be improper. What's your reasoning?
 
  • #3
Jbreezy
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I'm not 100 percent sure. I said yes because I think it keeps going it's domain is all real.
 
  • #4
Ray Vickson
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Homework Statement


It just wants me to tell whether this is improper or not.
[0,infinity] e^(-x^3) dx

Homework Equations




I say Yes

The Attempt at a Solution


What definition of "improper integral" are you using?
 
  • #5
36,191
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Homework Statement


It just wants me to tell whether this is improper or not.
[0,infinity] e^(-x^3) dx

Homework Equations




I say Yes

The Attempt at a Solution

I would call this integral --
$$\int_0^{\infty}e^{-x^3}dx$$
-- improper, because of the upper limit of integration.
 
  • #6
Jbreezy
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I'm just using the def in stewart calc. I think it is improper thanks.
 

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