If f is integrable on (0,inf) and differentiable at 0, and a > 0, and

inf f(x)

Int ---------------- dx is defined

0 x

show

inf ( f(x) - f(ax) )

Int ---------------- dx = f(0) ln(a)

0 x

Integral Solution

PHP Warning

lib/DbaDatabase.php:154: Warning: dba_optimize() [<a href='function.dba-optimize'>function.dba-optimize</a>]: You cannot perform a modification to a database without proper access

lib/DbaDatabase.php:134: Warning: dba_replace() [<a href='function.dba-replace'>function.dba-replace</a>]: You cannot perform a modification to a database without proper access