`I=int(dx)/(x^(2)+2x+5)`

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

int(2x+1)/(x^(2)+4x-5)dx

int(1)/(2x^(2)+5x+3)dx

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

Find the following integrals:(i) int(dx)/(x^2-16) (ii) int(dx)/(sqrt(2x-x^2))

Find the following integrals :(i) int(dx)/(x^2-6x+13) (ii) int(dx)/(3x^2+13 x-10) (iii) int(dx)/(sqrt(5x^2-2x))

5. int(1)/(3x^(2)+2x+1)dx

int(x+2)(x-1)^(5)dx

int(2x^4+5)/(x^2+1)dx

Evaluate: (i) int(x^2+x+5)/(3x+2)\ dx (ii) int(2x+3)/((x-1)^2)\ dx