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The area of the region bounded by the li...

The area of the region bounded by the lines x=1, x=2 and the curves `x(y-e^x)=sin x` and `2xy=2sinx+x^3` is

A

`e^2-e-1/6`

B

`e^2-e-7/6`

C

`e^2-e+1/6`

D

`e^2-e+7/6`

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