Area bounded by the curves y-ex- y-log e x and the lines x-0- y-0- y-1 isA- e 2-2 sq- unitsB- e-1 sq- unitC- e -2 sq- unitsD- e-1 sq- unit

The correct option is D e 1 sq. unit Area = Area of rectangle OABC ∫_1^elog_e x =1 · e [x log_e x x]_1^e =e 1 ...

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Question

Area bounded by the curves $y = e^{x}, y = l o g_{e} x$ and the lines x = 0, y = 0, y = 1 is

$e^{2} + 2$ sq. units

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$e + 1$ sq. unit

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$e + 2$ sq. units

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$e - 1$ sq. unit

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