# Thread: Improper integral. Convergent or divergent?

1. ## Improper integral. Convergent or divergent?

Hi,

Can anyone help me :

integral from 0 to 1: e^x/sqrt(1-x^2)

I think I need to convert this integral in such a way that function will be not defined in 0

Can anybody give some ideas?

2. Originally Posted by krikun
Hi,

Can anyone help me :

integral from 0 to 1: e^x/sqrt(1-x^2)

I think I need to convert this integral in such a way that function will be not defined in 0

Can anybody give some ideas?

Your problem is not with zero but with 1: the function isn't defined at x = 1 and it is unbounded there, so the integral is improper because of 1, not zero.

Tonio

3. I know, but I think that this integral is of the same type as 1/sqrt (x), and I need to convert discontinuity from 1 to 0.
But I don't know how