Skip to content
Competitive Stats
Q98Section II (Mathematics)98 of 190

An integral against a sign-changing density is a signed measure, not a measure

Consider (R,μ)(\mathbb{R},\mu) be Lebesgue measure space. Define ν(A)=∫Af(x) dμ\nu(A)=\int_Af(x)\,d\mu where f(x)=sin⁡xf(x)=\sin x for 0≤x≤2π0\le x\le2\pi, 00 otherwise. Then:

Options

Pick an option to check your answer.