Let m be a measure defined on Borel sets in the reals R by: m(E) = ∫_E dx/(1+x^2 ) . Find m(R) .

[Jack]

Let m be a measure defined on Borel sets in the reals R by: m(E) = ∫_E dx/(1+x^2 ) . Find m(R) .

Let m be a measure defined on Borel sets in the reals R by: m(E) = ∫_E dx/(1+x^2 ) .
Find m(R) .

 

[Evgeny.Makarov]

Re: Let m be a measure defined on Borel sets in the reals R by: m(E) = ∫_E dx/(1+x^2 ) . Find m(R) .

\(\int_{-\infty}^\infty \frac{dx}{1+x^2}=\pi\).