Recent content by binks01

Homework Statement Are Lebesgue measures considered metrics? The Attempt at a Solution I have an elementary understanding of metrics and am currently learning about Lebesgue Integration. A Lebesgue measure as a length in Euclidean space should be a metric, but what about areas and...

you have to use integration by parts. you want u= 9x+8 du=9dx v= (x^3)/3 dv=x^2dx then figure out [ uv - integral of (vdu) ] (x^3)/3 * (9x+8) - integral of [ (x^3)/3 * 9dx)]

How do you use |A| = |B| = n to prove f is onto?

The first question I have is simple, but when I attempted it, I got stuck. I'm trying to prove that if f:X->Y and A & B are subsets of X, that f(A intersect B) is a subset of f(A) intersect f(B). I started by trying to show set containment, beginning with an arbitrary element in f(A...