`int(e^(5logx)-e^(4logx))/(e^(3logx)-e^(2logx))dx`

int(e^(6logx)-e^(5logx))/(e^(4logx)-e^(3logx))dx

The value of int(e^(6logx)-e^(5logx))/(e^(4logx)-e^(3logx))dx is equal to

e^(x+2logx)

If y=(e^(4logx)-e^(3logx))/(e^(2logx)-e^(logx))," then: "(dy)/(dx)=

int(logx)/(x(1+logx)(2+logx))dx=

int(1+logx)/(x(2+log x)(3+logx))dx

int(log(x//e))/((logx)^(2))dx=

int7^(x logx)(1+logx)dx=

int(logx)^(2)dx=?

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 =