Let $(W_t)$ be a Brownian motion. I found $$\mathbb E\left(W_s\int_s^tW_s\,\mathrm ds\right)$$ in a much longer exercise, but I don't know how to compute it. Any suggestions?
2026-03-29 20:27:44.1774816064
$\mathbb E\left(W_s\int_s^tW_s\,\mathrm ds\right)$, $(W_t)$ is a brownian motion
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$$E\left[W_s\int_s^tW_u\mathrm du\right]=\int_s^tE[W_sW_u]\mathrm du=\ldots$$