- #1
johnhuntsman
- 76
- 0
∞
∫xe^[-x^2] dx
-∞
So basically I've solved for everything in this problem and it looks like it should be an indeterminate form and thus divergent. My book and Wolfram both say it's 0 and convergent though.
I get it down into:
lim [[e^(-t^2)] - e^0]/2 + lim [e^0 - [e^(-v^2)]]/2
t->-∞__________________v->∞
When I plug stuff in I get:
[e^∞ - e^∞ - e^0 + e^0]/2
I can see why it might be 0 from the stuff above, but e^∞ - e^∞ should be indeterminate rather than 0. Can someone please explain what I'm not getting?Wolfram:
http://www.wolframalpha.com/input/?...=DefiniteIntegralCalculator.rangeend_infinity
∫xe^[-x^2] dx
-∞
So basically I've solved for everything in this problem and it looks like it should be an indeterminate form and thus divergent. My book and Wolfram both say it's 0 and convergent though.
I get it down into:
lim [[e^(-t^2)] - e^0]/2 + lim [e^0 - [e^(-v^2)]]/2
t->-∞__________________v->∞
When I plug stuff in I get:
[e^∞ - e^∞ - e^0 + e^0]/2
I can see why it might be 0 from the stuff above, but e^∞ - e^∞ should be indeterminate rather than 0. Can someone please explain what I'm not getting?Wolfram:
http://www.wolframalpha.com/input/?...=DefiniteIntegralCalculator.rangeend_infinity