`int_1^e(dx)/(x(1+logx))`

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Evaluate int_(1)^(e)(1)/(x(1+logx))dx

The value of int_(1)^(e)(dx)/(6x(logx)^(2)+7x(logx)+2x)=

int_(1//e)^(e)(dx)/(x(logx)^(1//3))

int (x-1)/(x(x-logx))dx

Evaluate I=int_(1)^(e^(2))(dx)/(x(1+logx)^(2))

int1/(x(1-logx)^(2))dx=

If I_(1)=int_(e)^(e^(2))(dx)/(logx) and I_(2)=int_(1)^(2)(e^(x))/(x)dx then

int_(1)^(e)(logx)^(2)dx

int(1)/(x(logx))dx=