`(logx)^(x)+x^(logx)`

x^(x)(1+logx)

The value of int_(1)^(e)(dx)/(6x(logx)^(2)+7x(logx)+2x)=

For x gt 0 , if int(logx)^(5)dx=x[A(logx)^(5)+B(logx)^(4)+C(logx)^(3)+D(logx)^(2)+E(logx)+F] +constant, then A+B+C+D+E+F =

For x gt 0 , if int(logx)^(5)dx=x(A(logx)^(5)+B(logx)^(4)+C(logx)^(3)+D(logx)^(2)+E(logx)+F])+ constant then A+B+C+D+E+F =

For x gt 0 , if int(logx)^(5)dx=x[A(logx)^(5)+B(logx)^(4)+C(logx)^(3)+D(logx)^(2)+E(logx)+F] +constant, then A+B+C+D+E+F =

y=x^(logx)+(logx)^(x)

The differential coefficient of f(logx) with respect to x , where f(x)=logx is (a) x/(logx) (b) (logx)/x (c) (xlogx)^(-1) (d) none of these

Differentiate the following w.r.t. x: (x)^(logx) + (logx)^x

If f(x)=log_x^(2)(logx) , then f(e)