The integral _1^e ( xe )^ 2x - ( ex )^x _ex ,dx is equal to:

JEE Main 2019 Mathematics question

The integral \displaystyle\int_1^e\left\{\left(\frac xe\right)^{2x} - \left(\frac ex\right)^x\right\}\log_ex\,dx is equal to:

Answer: (B)

and $( =

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Question ID VK-010265