Reference request: $\int \Gamma(t)~dt$, the integral of the Euler's gamma function.

Question

I cannot find anything discussing $$\int \Gamma(t)~dt$$ As a definite or indefinite integral. Here, $\Gamma(x)$ is Euler's gamma function. I am looking for references which discuss the above integral and (hopefully) its properties$-$books, articles, anything.

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Note: I am not looking for references on $$\int \log \Gamma(t)~dt.$$