How do I start this integral?

integral from [-2 to 1]

sqrt((x^2)-1) / x dx

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- Sep 16th 2011, 11:05 PMSneakyintegral question
How do I start this integral?

integral from [-2 to 1]

sqrt((x^2)-1) / x dx - Sep 16th 2011, 11:33 PMProve ItRe: integral question
- Sep 17th 2011, 06:39 AMskeeterRe: integral question
- Sep 17th 2011, 11:02 AMSneakyRe: integral question
oh i mis-read it, its -2 to -1. But I think I can fix it myself.

Also I have a question about how to change the integral bounds when you do a change of variable. What if you change u=cos(x), and the integral bound was -inf to inf, then what would be the new integral bounds? - Sep 17th 2011, 11:09 AMProve ItRe: integral question
- Sep 17th 2011, 11:23 AMSneakyRe: integral question
For the integral ln(x) / x dx, i let u=ln(x), then got

[e to infinity]

integral u du

[1 to infinity]

then i got (after integrating and subbing in the bounds)

ln^2(infinity)/2 - 0

Is this right so far? - Sep 17th 2011, 11:29 AMProve ItRe: integral question
If you change the bounds, you don't convert the function back to a function of x, leave it in terms of u and substitute the u values.

But you are correct that the integral does not converge. - Sep 17th 2011, 11:32 AMSneakyRe: integral question
If i do that I end up with (u^2) / 2 |[1 to inf]

then it ends up being infinity - 1/2

It doesn't look correct. - Sep 17th 2011, 05:21 PMSneakyRe: integral question
Does this mean the answer is infinity?

- Sep 17th 2011, 11:02 PMProve ItRe: integral question