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

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

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

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

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

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

int(e^(log x))/(x)dx=

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

Evaluate the following definite integral: int_1^e(e^x)/x(1+x log x)dx

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

int(e^(x log a)+e^(a log x))dx