# Integration through approximation

1. Jun 24, 2013

### Matheco

There is no analytical solution of the integral below. Can we approxiamate the analytical solution?

$\int_{k}^{K} \frac{exp(-log^2 (x))}{x(x-A)}dx$

2. Jun 24, 2013

### Staff: Mentor

Is anything known about k, K, A?
If they are given, it is easy - if not, some knowledge about them would still help.

3. Jun 24, 2013

### mathman

x = 0 and x = A have critical roles. If either is inside [k,K], you have to break the integral at that point before proceeding.

4. Jun 25, 2013

### Matheco

Thanks for your replies. I am assuming x>A>0.

5. Jun 25, 2013

### mathman

My caution involves the relationship to the limits of integration [k,K].