Prove that the integral 1/root(ax^2+bx+c)dx=1/root(a)|n(2ax+b+2root(a(ax^2+bx+c)]+k....please i don,t no it

You can read through this

http://mathhelpforum.com/calculus/230533-integral-1-x-sqrt-ax-2-b-x-c-dx.html

or recall that arcsinh(u) = log(u + √(u^2+1))

and see where that takes you.