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If f(x) =sqrt(x-1),g(x)=e^(x) and intfog...

If `f(x) =sqrt(x-1),g(x)=e^(x)` and `intfog(x)dx=Afog(x)+Btan^(-1)(fogx)+C` then `A^(3)+B^(2)` equals:

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To solve the problem step by step, we start with the given functions and the integral expression. ### Step 1: Identify the Functions We have: - \( f(x) = \sqrt{x - 1} \) - \( g(x) = e^x \) We need to find \( \int f(g(x)) \, dx \). ...
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