`I=int(dx)/(x^(2)+2x+4)`

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

(i) int(dx)/(x^(2)+2x+6)

If I=int(dx)/(x^(4)sqrt(a^(2)+x^(2))) , then I equals

I=int(dx)/((2a x+x^2)^(3/2))

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

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

int (x^(2))/(x^(2) +4) dx=?

Evaluate : (i) int_(-oo)^(oo) (dx)/(x^(2)+2x+2) , (ii) int_(sqrt(2))^(oo)(dx)/(xsqrt(x^(2)-1)) , (iii) int_(0)^(4)(x^(2))/(1+x)dx (iv) int_(0)^(pi//2) sqrt(costheta)sin^(3)theta

(i) int(dx)/(sqrt(4x^(2)-6))

Evaluate: int(x-3)/(x^2+2x-4)\ dx