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

Evaluate int(dx)/(x^(4)(x^(3)+1)^(2))

If int (dx)/(x ^(4) (1+x^(2)))=a ln |(1+x ^(3))/(x ^(3))| +(b)/(x ^(3)) +(c)/(1+ x^(2)) +d. then (where d is arbitrary constant)

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

(i) int((x^(2) - 1)/(x^(2) + 1))dx , (ii) int ((x^(6)- 1)/(x^(2) + 1))dx (iii) int ((x^(4))/(1+x^(2)))dx , (iv) int((x^(2))/(1+x^(2)))dx

Evaluate: (i) int((x^(3) + 4x^(2) -3x -2))/((x+2)) dx , (ii) int((x^(4) +1)/(x^(2) +1))dx

Let u=int_(0)^(oo)(dx)/(x^(4)+7x^(2)+1) and v=int_(0)^(x)(x^(2)dx)/(x^(4)+7x^(2)+1) then

If int (dx)/((x^2+4)(x^2+9))=Atan^(-1)((x)/(2))+Btan^(-1)((x)/(3))+c , then A-B =

int(1)/(x^(2)(x^(4)+1)^((3)/(4)))dx

int(1)/(x^(2)(x^(4)+1)^((3)/(4)))dx