I know that Lebesgue measure of the integral $[-R, R]\subset \mathbb R$ is its length that is $2R.$
Let $d\geq 2$ and consider $B_{R}=\{ x\in \mathbb R^d: |x|\leq R \}$ for some $R>0$.
What is the Lebesgue measure of $B_{R}$ in $\mathbb R^d$?
I know that Lebesgue measure of the integral $[-R, R]\subset \mathbb R$ is its length that is $2R.$
Let $d\geq 2$ and consider $B_{R}=\{ x\in \mathbb R^d: |x|\leq R \}$ for some $R>0$.
What is the Lebesgue measure of $B_{R}$ in $\mathbb R^d$?
Copyright © 2021 JogjaFile Inc.