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

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

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Evaluate the following definite integral: int_(1)^(e)(e^(x))/(x)(1+x log x)dx

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

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

The value of int_(1)^(e)(1)/(x)(1+log x)dx is

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

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

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

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

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

underset(1)overset(e)int (e^(x))/(x) (1 + x log x)dx

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