WP 34s - Latest Version?

[emece67]

The benefits are:

• manages discontinuities of the integrand or its derivatives at the integration limits
• accepts infinities as integration limits
• is usually faster than the Romberg method (many times the speedup is dramatic)
  

as a con, the Romberg method seems to better manage such cases where the integrand or its derivatives have discontinuities inside (but not at the ends) of the integration interval.

There's another thread where I describe the basic idea around this algorithm. Beware that this description is for the tanh-sinh method, that does cope neither with semi-infinite nor infinite integration intervals. The program inside the wp34s implements the three tanh-sinh, exp-sinh and sinh-sinh methods (thus the "double exponential" name), thus coping with all three cases of the integration interval.

Although there are, of course, functions that can put this program in trouble, I've found it to be a a good/better tool for everyday work/play.

Regards.