let-f-t-0-logx-x-2-t-2-dx-t-gt-0-1-calculate-f-n-t-and-f-n-0-2-developp-f-at-integr-serie-

Question Number 141933 by mathmax by abdo last updated on 24/May/21

let f (t) = \int_{0}^{\infty} \frac{logx}{x^{2} + t^{2}} dx (t > 0)

1) calculate f^{(n)} (t) and f^{(n)} (0)

2) developp f at integr serie

Commented by Mathspace last updated on 24/May/21

f^{(n)} (1)