" (iii) "int_(1)^(e)(log x)/(x)dx(U.P.2005)

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int_(1)^(e)(1+log x)/(x)dx=

"int_(1)^(e)(1+log x)/(x)dx=

int_(1)^(e) log (x) dx=

int_(1)^(e)(ln x)/(x^(2))dx=

int_(1)^(e )((log x)^(4))/(x)dx=

int_(1)^(e )((log x)^(3))/(x)dx=

-int_(1)^(e)((log x)^(2))/(x)*dx

" (2) "int_(1)^(2)(log e^(x))/(x^(2))dx

Evaluate :int_(1)^(e)(log x)/(x)dx

int_(1)^(x)log_(e)[x]dx