Question

Determine thru the Integral Test if the following converges or diverges.

Answer 1

\[\frac{ 1 }{ \sqrt{x}(\sqrt{x}+1) }\]

Answer 2

if its a product in the denominator, yeah, but not sure thatll work for integration

Answer 3

can you determine a suitable u sub perchance?

Answer 4

I am lost.

Answer 5

lost at what?

Answer 6

On how to integrate this.

Answer 7

if we let u = sqrt(x)+1, then du = 1/[2sqrt(x)] dx for a substitution

Answer 8

\[\int\frac{2}{u}du\]

Answer 9

when x=0, u=1 ... so
\[\int_{1}^{\infty
}\frac{2}{u}du\]

Answer 10

Ok i see that

Answer 11

How did you arrive at 2/u du?