Yes, I'm looking for functions like the one David and George proposed, but which are defined on the bounds of the integral. I doubt ci(x) can be integrated properly with elementary methods, since it wobbles so much near zero.
@ Crosson : wow,now i see how advanced the maths is to integrate...
My bad, i assumed that mathematical software uses elementary methods. Out of curiosity i'd like to know what methods they use.
But more importantly I'm searching for functions belonging to the former class i.e. easier to integrate numerically using elementary methods, as an example to add to...
Sorry, i wasn't clear.
By easier i meant that MATLAB would take less time/ computer memory to evaluate the integral using a numerical integration method ( Simpson, Romberg, etc) than evaluating the antiderative itself which is usually quite complicated ( expressed using power series, etc)...
There isn't an applied mathematics thread so i'll post this here.
I'm an undergraduate and I have a presentation for my numerical methods/matlab class . I'm looking for examples of
1)Integrals which are easier/faster to integrate numerically than do evaluate using their antiderivatives...