Area bounded by the curves y-ex- y-log e x and the lines x-0- y-0- y-1 isA- e2-2 sq- unitsB- e -1 sq- unitC- e -1 sq- unitD- e-2 sq- unit

Area bounded ...

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. unit

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e - 1

sq. unit

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Solution

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y = x e^{x}, y = x e^{- x}

x = 1

y = x e^{x^{2}}

\frac{1}{e}

\frac{1}{e}

y = | 1 - x |, y = | 1 + x |, y = 2 x^{2}, y = 0