Area under the curveHard

Question

The area of the figure bounded by the curves y = lnx & y = (lnx)2 is -

Options

A.e + 1
B.e - 1
C.3 - e
D.1

Solution

  
A = (lnx - (lnx)2)dx
on solving it by parts we get
A = 3x(lnx - 1)|1e - x(lnx2)|1e = 3 - e

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