Given $f(x)=k $ where k is a constant and $g(x)=x^2 \in [a,b]$, how do I find the the Riemann Stieltjes integrals, $\int fdg$ and $\int gdf$ taken over the intervals [a,b]?
2026-03-25 16:20:29.1774455629
Riemann Stieltjes integration
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The intuition is $$ \int k d\left(x^2\right) = \int k (2x)dx = kx^2+C $$ and similarly can you compute the other one? Should be very easy.