If \( f(x)=\sqrt{x-1} ; g(x)=e^{x} \) and \( \int f \circ g(x) d x=...

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If \( f(x)=\sqrt{x-1} ; g(x)=e^{x} \) and \( \int f \circ g(x) d x=A f o g(x)+\operatorname{Btan}^{-1}(f o g(x))+C \) then \( A^{3}+B^{2} \) equals
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