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int(1)^(e^(3))(dx)/(x sqrt(1+ln x))=...

int_(1)^(e^(3))(dx)/(x sqrt(1+ln x))=

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

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

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

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

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

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

The value of definite integral int_(1)^(e)(dx)/(sqrt(x^(2)ln x+(x ln x)^(2))) is

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

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

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