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Question

Simplify:-
(1(lnx)1(lnx)2)dx

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Solution

(1lnx1(lnx)2) dx
Put lnx=t,dxx=dt
dx=x dt
dx=etdt
et(1t1t2)dt
We know that ex(f(x)+f(x))dx=exf(x)+c
=ett+c
=xlnx+c=xlnx+c

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