(x+(1)^(3)(x+log x)^(2))/(x)

Integrate the functions ,(1+x)(x+log x)^(2),((1+x)(x+log x)^(2))/(x)

int((log x)^(2)-log x+1)/(((log x)^(2)+1)^((3)/(2)))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

Find the value of x satisfying the equation,sqrt((log_(3)(3x)^((1)/(3))+log_(x)(3x)^((1)/(3)))log_(3)(x^(3)))+sqrt((log_(3)((x)/(3))^((1)/(3))+log_(x)((3)/(x))^((1)/(3)))log_(3)(x^(3)))=2

int (1)/(x ^(3)) [log x ^(x) ] ^(2) dx = p (log x ) ^(3) + c Then p = .............

Evaluate lim_(x rarr-1)(log x^(2)-log((1)/(x^(4)))+log3)/(log((x^(3))/(-3)))

(log (x^(3) + 3x^(2) + 3x + 1))/(log (x^(2) + 2x + 1)) is equal to

If f(x) {:(=(log (1+3x )-log(1-2x))/x", if " x != 0 ),(=a", if " x =0 ):} is continuous at x = 0 , then a =