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cherrilyn
 5 years ago
Determine whether the improper integral converges, and if so, evaluate it.
cherrilyn
 5 years ago
Determine whether the improper integral converges, and if so, evaluate it.

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cherrilyn
 5 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{5}^{6} dx/(x5)^{3/2}\]

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0\[=\frac{2}{\sqrt{x5}} \] from 5 to 6 =2  (infinity)=infinity so it diverges

cherrilyn
 5 years ago
Best ResponseYou've already chosen the best response.0what were the new bounds?

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0what do you mean? im sorry i used the bounds 5 to 6, and technically took the limit as x goes to 5

cherrilyn
 5 years ago
Best ResponseYou've already chosen the best response.0aren't the limits supposed to include an infinity somewhere or no?

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0not always it depends on the problem, since our problem has bounds already of 5 and 6 we are checking the limit of the integral from a to 6 as a >5
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