Question

Another one:
Which of the following integrals are divergent?
There are 3 functions there and I believe that the last 2 both "converge", any ideas anyone?

Answer 1

\[\int x^{-2}dx=-x^{-1}\]
\[(0)^{-1}+(-4)^{-1}\]

\[\lim_{x->0^-} \ \frac{1}{x}-\frac{1}{4}\]
i dont think that converges does it ....

Answer 2

Nope, but the last 2 do

Answer 3

http://www.wolframalpha.com/input/?i=integrate+7x%5E%28-1%2F2%29+from+0+to+4

yeah, the middle does

http://www.wolframalpha.com/input/?i=integrate+9x%5E%28-3%2F2%29%2F10+from+0+to+4

bottom doesnt tho

Answer 4

since 3/2 is > 1 it diverges if memory serves

Answer 5

Oh, I see, I messed up and put the sort on the top of the equation,

Answer 6

sqrt*

Answer 7

it happens :)

Answer 8

Thanks man,