Calculate integral $\int_{A}f(x)\mu (dx)$, where $A = (90, 100],f(x) = x^2, \mu =
∑_{k=1}^{\infty}\frac{1}{k}δ_{k}$.
My idea : $\int\limits_{(90,100]}x^{2} \mu (dx)$ present as a sum of integrals : $\int\limits_{[90,91)\setminus \{ 90\}} x^{2} \mu (dx)+ \int\limits_{[91,100]}x^{2} \mu (dx)$. The first integral equals 0 , so we need to calculate $\int\limits_{[91,100]}x^{2} \mu (dx)$. Is it good idea ? How to calculate this integral ?
2026-05-16 06:27:28.1778912848
Integral $\int_{A}f(x)\mu (dx)$
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