Evaluate: `inte^x\ (logx+1/x)\ dx`

Evaluate: inte^(3logx)(1+x^4)^-1dx

Evaluate : int_1^3 cos( logx )/x dx

Evaluate int e^x(1/logx-1/(x(logx)^2)) dx

Evaluate : int_(a)^(b)(logx)/(x) dx .

Evaluate int logx dx

Evaluate int_(1)^(2)(logx)/(x)dx

Evaluate : int(logx)/(x^(2))dx .

Evaluate : int e^([log(x+1)-logx])dx

Evaluate: int(logx)/((1+logx)^2)\ dx

Evaluate : (i) int(logx)/(x)dx (ii) int(sec^(2)(logx))/(x)dx (iii) (e^(tan^(-1)x))/((1+x^(2)))dx (iv) int(sinsqrt(x))/(sqrt(x))dx