" Find "ln[(x-2)/(x^(2)-x)-(1)/(x^(-3x^(2)+2x))]

Find domain f(x)=sqrt((x^(2)-3x-10)(ln^(2)(x-3)))

Let Y=(log(x+1)(x^(2)-3x+2)x^(2))/((x-4)^(3)(x+5)(x-3)(x^(2)+2x+2)) then which of the following options is correct

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:int(sqrt(x^(2)+1)(log(x^(2)+1)-2log x))/(x^(4))dx

Value of lim_(x rarr0)(ln(1+2x-3x^(2)+4x^(3)))/(ln(1-5x+6x^(2)-7x^(3))) is

If f(x)=log((1+x)/(1-x)),-1ltxlt1 then f((3x+x^(3))/(1+3x^(2)))-f((2x)/(1+x^(2))) is

It int (3x-2)/((x-1)(x+2)(x-2))dx=A log |x-1|B log |x+2|+C log |x-3|+C then the ascending order of A,B,C is