indefinite-integration

Question: $\int_{{}}^{{}}{\frac{{{x}^{e-1}}+{{e}^{x-1}}}{{{x}^{e}}+{{e}^{x}}}dx=}$

1) $\log ({{x}^{e}}+{{e}^{x}})+c$

2) $e\log ({{x}^{e}}+{{e}^{x}})+c$

3) $\frac{1}{e}\log ({{x}^{e}}+{{e}^{x}})+c$

4) None of these

Solution:

Explanation: No Explanation

Integration by substitution

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