Can this function: $\int_0^t({B_s}^2+s)^2$ $ds$ be simplified any further using Ito's Lemma or other methods?

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I want to calculate the value of this function: $\int_0^t({B_s}^2+s)^2$ $ds$, however I think this may be as simple as it gets. I have no way of telling for certain- could someone more knowledgeable possibly guide me as to how I might simplify it?