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" (2) "int(1)^(2)(log e^(x))/(x^(2))dx...

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

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int_(1)^(2)(log x)/(x)dx=

int_(1)^(2)((1+log x)^(2))/(x)dx

int_(0)^(log 2)(e^(x))/(1+e^(x))dx=

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

int_((1)/(2))^(2)(ln x)/(1+x^(2))dx

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

The value of int_(1//e )^(e )(|log x|)/(x^(2))dx , is

If I _(1) = int _(e) ^(e ^(2)) (dx )/( ln x ) and I _(2) = int _(1) ^(2) (e ^(x))/(x) dx, then

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

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