Post Reply 
Crash when Solve for Integral with 15C
08-31-2017, 08:55 PM (This post was last modified: 08-31-2017 09:14 PM by SlideRule.)
Post: #6
RE: Crash when Solve for Integral with 15C
Gamo

From the aforementioned url:
"It is very common for an elementary function not to have an elementary antiderivative. Proving this is the case for a particular function can be difficult. Your function e^x^3 happens to be one for which the standard method for showing "impossibility," which dates back in principle to Liouville, works reasonably smoothly. Many non-elementary "special functions" have been devised such that useful integrals can be expressed in terms of these special functions. I would guess that Maple, or Mathematica, even Wolfram Alpha, can produce an answer in terms of some special function."
from Wolfram Alpha
[attachment=5146]
"The antiderivative of e^x^3 cannot be expressed in terms of elementary functions. We can, however, express it using power series... another try you can solve it with Gamma function... finally ... The integral cannot be evaluated. We have to use power series of exponent and then integral term by term., or use a substitution.

BEST!
SlideRule
Find all posts by this user
Quote this message in a reply
Post Reply 


Messages In This Thread
RE: Crash when Solve for Integral with 15C - SlideRule - 08-31-2017 08:55 PM



User(s) browsing this thread: 1 Guest(s)