Find `intlog_e(x)/xdx`

intlog(1+x)/x^2dx

intlog(1+x)/x^2dx

intlog(1-x^2)dx

intlog((1+x^2)/x^3)dx

intlog(x^2+a^2)/x^2dx

Evaluate : int_1^e(logx)/xdx

Evaluate: int(logx)/xdx

Evaluate int_1^e cos(log_ex)/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 int(e^(x-1))/((x^2-5x+4))2xdx=A F(x-1)+B F(x-4)+C and F(x)=int(e^x)/xdx ,t h e n