OpenStudy (anonymous):

explain why this is improper integral: from 1 to infinity: integral of x^4 e(^-x^4))dx

5 years ago
OpenStudy (zarkon):

the infinity

5 years ago
OpenStudy (anonymous):

since it has an inifity it shows its improper?

5 years ago
OpenStudy (anonymous):

take the limit as x goes to infinity: you get x^4 going to infinity, but e^-infinity is going to zero: so your limit looks like this: lim = infinity*0 we have no idead whether the limit will converge or not, so we can't actually take an integral of it going to infinity

5 years ago
OpenStudy (zarkon):

yes...that is one way to be in improper integral

5 years ago
OpenStudy (anonymous):

|dw:1334808455265:dw|

5 years ago
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