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Let f(x) =int(-2)^xe^((1+t)^2)dt and g(x...

Let `f(x) =int_(-2)^xe^((1+t)^2)dt` and `g(x) = f(h(x))`,where `h(x)` is defined for all `x in R`. If `g'(2) = e^4` and `h'(2)=1` then absolute value of sum of all possible values of `h(2)` is ___

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