(x+2)^(3)=2x(x^(2)-1)

The value of int(x+(1)/(x))^(3//2)((x^(2)-1)/(x^(2)))dx , is

" (8) "quad e=int(x+(1)/(x))^(3/2)((x^(2)-1)/(x^(2)))^(dx)

Evaluate: int(x+(1)/(x))^((3)/(2))((x^(2)-1)/(x^(2)))dx

Evaluate int_(2)^(3)(2x^(5)+x^(4)-2x^(3)+2x^(2)+1)/((x^(2)+1)(x^(4)-1))dx

Evaluate: int_(2)^(3)(2x^(5)+x^(4)-2x^(3)+2x^(2)+1)/((x^(2)+1)(x^(4)-1))dx

Evaluate int_(2)^(3)(2x^(5)+x^(4)-2x^(3)+2x^(2)+1)/((x^(2)+1)(x^(4)-1))dx

Multiply : x^(2)-2, x^(3)+2x^(2)+1

int_(0)^(3)(2x^(5)+x^(4)-2x^(3)+2x^(2)+1)/((x^(2)+1)(x^(4)-1))dx

What must be added to f(x) = x^4 + 2x^(3) - 2x^(2) +x-1 so that the resulting polynomial is divisible by x^(2) + x+1 ?

Number of integers in the range of the function f(x)=(x^(3)+2x^(2)+3x+2)/(x^(3)+2x^(2)+2x+1):x in R-{0} is