Evaluate the following: integral -infinity to +infinity xe^-x^2 dx.

Expert Answers info

Eric Bizzell eNotes educator | Certified Educator

briefcaseTeacher (K-12)

calendarEducator since 2011

write3,062 answers

starTop subjects are Math, Science, and Business

We are asked to evaluate `int_(-oo)^(oo)e^(-x^2)xdx`

I. The easy way is to recognize `xe^(-x^2)` as an odd function. ( f(-x)=-f(x) ). Since the limits of integration are symmetric about the origin, the integral is zero.


II. If you did not see that, we can apply what we know of improper integrals. Improper integrals are integrals with either or both limits at...

(The entire section contains 230 words.)

Unlock This Answer Now

check Approved by eNotes Editorial

Ask a Question