" 14."(1)/(x(log x)^(m))

int(1)/(x(log x)^(m))dx

Integrate the functions (1)/(x(log x)^(m)),x>0

I=int(1)/(x(log x)^(m))dx

int (1)/(x(log x)^m) dx

int(log(x+1)-log x)/(x(x+1))dx= (A) log(x-1)log x+(1)/(2)(log x-1)^(2)-(1)/(2)(log x)^(2)+c (B) (1)/(2)(log(x+1))^(2)+(1)/(2)(log x)^(2)-log(x+1)log x+c (C) -(1)/(2)(log(x+1)^(2))-(1)/(2)(log x)^(2)+log x*log(x+1)+c (D) [log(1+(1)/(x))]^(2)+c

If x^(y)=e^(x-y), then (dy)/(dx) is (1+x)/(1+log x)(b)(1-log x)/(1+log x)(c) not defined (d) (log x)/((1+log x)^(2))

If I_(m,n)=int (x^(m))/((log x)^(n))dx then (m+1)I_(m,n)-n.I_(m,n+1)=

If I_(m)=int_(1)^(x) (log x)^(m)dx satisfies the relation I_m = k-lI_(m-1) then,

" "int(1)/(log(x^(x))(log x+1))dx=

if I_(m,n)=int(x^(m))/((log x)^(n))dx, then (m+1)I_(m,n)-nI_(m,n+1) is