Find `int e^(log_e x)/xdx`

int (1+log_e x)/x dx

Find intx e^xdx

If a gt0 and a!=1 evaluate the following integrals: (i) int e^(xlog_(e)a)dx (ii) int e^(alog_(e)x)dx (iii) int e^x a^xdx (iv) int 2^(log_(e)x)dx

If a >0 and a!=1 evaluate the following integrals: (i) inte^(x\ (log)_e a)\ dx\ (ii) inte^(a\ (log)_e x)\ dx

Evaluate the integerals. int (e ^(log x))/(x ) dx on (0,oo).

Evaluate int_1^e cos(log_ex)/xdx

If a >0 and a!=1 evaluate the following integrals: inte^x\ a^x\ dx (ii) int2^((log)_e x)\ dx

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

Evaluate int 5^(log _(e)x)dx

Evaluate : int(e^(logsqrt(x)))/xdx