Power in a power integral?

Calculus Level 4

11(ex2ex+1+2xex2ln(ex+1))dx=?\large{\int_{-1}^{1} \left( \dfrac{e^{x^2}}{e^x +1} + 2xe^{x^2} \ln(e^x+1) \right) \, dx = \, ?}

Give your answer to 3 decimal places.

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