Integral convergence

Question

Determine if the following integral converges. 0 int 2 1/(x^2-1) dx

Answer 1

Hey! Lets solve this shall we ?

If we integrate this integral, we will get

∫₀² (1/(x²-1) dx = ln(x²-1)²₀ = ln(3) - ln(-1).

Since ln(-1) does not exist, the integral diverges.

I hope this helped!