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

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int_1^e (dx)/x

Evaluate each of the following integral: int_e^(e^2)1/(xlogx)dx

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

int(e^(x)(1+xlogx))/(x)dx=

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

int_(1)^(e)(e^(x)(x log_(e)x+1))/(x)dx is equal to

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

Evaluate: int(e^x(1+xlogx))/xdx

inte^(x)((1+xlogx)/(x))dx=?