I can't count how many times Jean posted same integrated functions as bug.
After a couple of dozens, it becomes boring to look at same files with different names.
Yes we know native SMath integration algorithm is not capable as commercial ones.
Yes we know there are problems while plotting some functions or methods.
Yet you can use maple, maxima plugins. It is very easy to implement needed functions.
Their symbolic, differentiate and integration functions are more suitable.
And by using them, SMath can solve and plot those functions.

Integrate_solved.sm (17kb) downloaded 10 time(s).