Evaluate \(\int {\left\{ {{{\left( {\frac{x}{e}} \right)}^x} + {{\left( {\frac{e}{x}} \right)}^x}} \right\}} \ln xdx\)

Evaluate,

Solution

Let

The given integral =

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Refer: http://courses.manishverma.site/mod/page/view.php?id=676

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