definite integral

[man111]

$\displaystyle{\int_{\alpha}^{\beta}\frac{\left(t^2-\alpha\beta\right).\ln\left(\frac{t}{\alpha}\right).\ln\left(\frac{t}{\beta}\right)}{\left(t^2+\alpha^2\right).\left(t^2+\beta^2\right)}dt}$

[ИСН]

Quite obviously, this thing appeals for some creative substitution that would turn it to minus itself (and hence to 0).
Seems that $\xi={\alpha\beta\over t}$ would do.

[myra_panama]

Look here : http://www.artofproblemsolving.com/Foru ... 7&t=415045