# Integration by substitution

Calculus Level 4

Let $$g(x)$$ be a differentiable function defined on the domain $$x > -2$$ satisfying the following conditions: \begin{align} g(0)&=0 \\ (x+2)g'(x)-2g(x)+2&=0\\ g(x) &\neq 1. \end{align} Find $$g(2).$$

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