" (i) "(x^(4)-1)/(x(x-1))

Find a function whose derivative is (x^(4)-1)/(x(x-1))

lim_(x rarr1)[((4)/(x^(2)-x^(-1))-(1-3x+x^(2))/(1-x^(3)))^(-1)+3(x^(4)-1)/(x^(3)-x^(-1))]

Primitive of (3x^(4)-1)/((x^(4)+x+1)^(2)) w.r.t.x is

For what value of a is this function f(x){:{((x^4-1)/(x-1)if,x ne 1),(aif,x=1):} continuous at x=1?

int(x^(4)+1)/(x(x^(2)+1)^(2))dx

Statement-1: lim_(x to 1) "sin" pi/4 ((x|x|-1)/(|x|-1)) exists Statement-2: lim_( xto 1) "tan" pi/4 ((x|x|-1)/(|x|-1)) exists

int e^(x)((x^(4)+x^(2)+1)/(x^(2)+x+1))dx=

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

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