Improper integral convergence
$\int_{-\infty }^{0} xe^x dx$
Hi. Online calculators are telling me this converges to -1. My first instinct is that it diverges to negative infinity but I get what looks like an indeterminate form when I work through this. Can someone please explain why this converges to negative one? Thanks for your time.
here's what I have when after I substitute the bounds of the integral:
-1 - [ ($-\infty $ -1) (1)]
Hi. Online calculators are telling me this converges to -1. My first instinct is that it diverges to negative infinity but I get what looks like an indeterminate form when I work through this. Can someone please explain why this converges to negative one? Thanks for your time.
here's what I have when after I substitute the bounds of the integral:
-1 - [ ($-\infty $ -1) (1)]
Answer
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Leave a comment if you need any clarifications.
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thanks philip
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My pleasure!
The answer is accepted.
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