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Question

The area of the region enclosed by the curves y=x,x=e,y=1x and the positive x- axis is

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Solution

y=xx=ey=1x
Area of the shaded region = area of OAD+area of ABCD
=12bh+e11xdx
=12×1×1+[lnx]e1
=12+lne+ln1
=12+1+0=32 units

1207527_1242399_ans_4946ed989bfd4a25a07b0edc135175df.PNG

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