does this integral converge or diverge?

a) int from 0 to infinity of e^(-x)/sqrroot(x)

b) int from o to pi/2 of 1/sqroot(sec(x)-1))

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- July 23rd 2009, 06:17 PMbmixonintegral converge or diverge
does this integral converge or diverge?

a) int from 0 to infinity of e^(-x)/sqrroot(x)

b) int from o to pi/2 of 1/sqroot(sec(x)-1)) - July 23rd 2009, 06:29 PMKrizalid
For the first one, split it into two pieces:

The first one converges by simple limit comparison test with the second one just require a simple bound to determine its convergence. I'll let you to figure out.