Non-real Integrals...

Dec 2009
1,506
434
Russia
Check if the next non-real integral convergent without computing.

int (1-->inf) e^(-sqrt(x))


Thanks!
 
Mar 2010
280
122
\(\displaystyle \int e^{-\sqrt x}dx=\)
\(\displaystyle (x=t^2 \: \: dx=2tdt)\)
\(\displaystyle =\int e^{-t}2tdt\)
 
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