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Question

The area of the region bounded by the curves y=exlogx and y=logxex is:

A
e254e
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B
e54
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C
e45
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D
e414e
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Solution

The correct option is A e254e
∣ ∣11/eexlogxlogxexdx∣ ∣
∣ ∣e11/exlogx1e11/elogxxdx∣ ∣
∣ ∣e(logxx2214x2)11/e1e(logx)2211/e∣ ∣
∣ ∣e(14((1)e2214e2)1/e(0(12)))∣ ∣
e4+(34e1)+24e
e4+54e=e254esqunits.

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