Recent content by lost_math

Homework Statement Integrate the function e^(-x^2) with definite integrals -infinity to X Homework Equations The Attempt at a Solution I know that the indefinite integral of this reduces to sqrt(pi), but don't know what to do with the definite integral. Is this a known result...

Thanks all, was really helpful.

Homework Statement x^2 y' + xy + 5x^5=0 Homework Equations no starting conditions The Attempt at a Solution cannot figure out how to do this. Euler's equations methods have no pure x terms, and the non-homogenous methods have some kind of separable thing, where the x terms neatly...

Thanks Arun and Cristo. Cristo, I don't know how to integrate x^-3. (i think i might be hopeless, right?) Arun, what is the expansion formula you just gave me called? Is there a name for solving by that method? It is applicable to negative powers as well?

Homework Statement \ 2/(x-2)^3 dx Basically integrating a perfect cube in the denominator with a constant in the numerator Homework Equations The Attempt at a Solution i thought it would be a form of ln(x), but then, that would mean having atleast some x terms in the numerator...