Dear, I would like to ask you if it is possible to perform integrals of functions defined by intervals.

Thanks and regards

JuanMa

if/else has a long lasted bug.
It doesn't allow you to compute in certain situations.
I had a list for that, if I can find I will post it here.
You can use cases() if you encounter a bug.
Here is your file re-written with cases.

Regards

cases instead ifelse.sm (7 KiB) downloaded 64 time(s).

Wrote

Dear, I would like to ask you if it is possible to perform integrals of functions defined by intervals.

Yes, though very many had to be doctored.
Jean

Integrate Discontinuous.sm (10 KiB) downloaded 31 time(s).

Integrate Discontinuous SCALAR.sm (6 KiB) downloaded 27 time(s).

Here is my reply to if bug.
https://en.smath.com/forum/yaf_postsm75905_bug-in-if.aspx#post75905

There are other bugs with some specific conditions.
Don't get confused with long list, when you get use to smath it gets easier to remember.
I didn't mention if/else in this reply, but it can be added.
https://en.smath.com/forum/yaf_postsm71178_solve---bugs.aspx#post71178

And here is a list may be useful to consider.
https://en.smath.com/forum/yaf_postsm76117_Vertical-Bar-Question.aspx#post76117

Regards

Wrote

Here is my reply to if bug.
https://en.smath.com/forum/yaf_postsm75905_bug-in-if.aspx#post75905

There are other bugs with some specific conditions.
Don't get confused with long list, when you get use to smath it gets easier to remember.
I didn't mention if/else in this reply, but it can be added.
https://en.smath.com/forum/yaf_postsm71178_solve---bugs.aspx#post71178

And here is a list may be useful to consider.
https://en.smath.com/forum/yaf_postsm76117_Vertical-Bar-Question.aspx#post76117

Regards

Thanks to both