Solving Indefinite Integrals: "int (1/(sqrt -x^2 -2x))dx

[Atilla1982]

I have:


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

so I rewrite (-x^2-2x) --> 1-(x+1)^2 and swap those two.

then I say t=x+1, and substitute that in.

So now I have:

int (1/(sqrt 1-t^2)) dt

Here I get stuck, can anyone please help?

 

[hypermorphism]

That was an excellent substitution. Review the derivative of the arcsine function.