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

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

I=int(dx)/((a+dx^2)sqrt(b-a x^2))

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

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

Integrate the following integrals (i) int(dx)/(sqrt(5x^(2)-2x)) (ii) int(1)/(sqrt(2ax-x^(2)))dx

If I_(1)=int_(0)^(1) 2^(x^(2)) dx, I_(2)=int_(0)^(1) 2^(x^(3)) dx, I_(3)=int_(1)^(2) 2^(x^(2))dx and I_(4)=int_(1)^(2) 2^(x^(3))dx then

I=int(sin2x-cos2x)^(2)dx

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

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))

Evaluate : int(dx)/(sqrt(5-4x-2x^2))