(2) f(g(x)) cdot f(u)=(u-1)^3+2 u^2, g(x)=x+1

To solve the given integral, we need to find the antiderivative of the function with respect to . Given that , we can substitute this into the integral: Expanding the expression inside the integral, we have: Expanding further, we get: Expanding and simplifying, we have: Integrating term by term, we get: Simplifying further, we have: Therefore, the correct answer is .