Summary: CAN WE INTEGRATE x2
e-x2/2
?
MICHAEL ANSHELEVICH
ABSTRACT. Not every nice function has an integral given by a formula. The standard example is
e-x2
/2
dx which is not an "elementary" function. On the other hand,
xe-x2
/2
dx = -ex2
/2
.
What about x2
e-x2
/2
dx? Is this a calculus integral? What about x3
e-x2
/2
dx? In this talk, I will

Source: Anshelevich, Michael - Department of Mathematics, Texas A&M University

Collections: Mathematics