(c) find the integral of 1/squrt (x^2+2x+10) dx

Answer 1

you know that 1/√(a^2+u^2) du = arcsinh(u/a)

Let u = x+1 and you have du=dx so

∫1/√((x+1)^2 + 3^2) dx
=∫1/√(u^2+9)
= arcsinh((x+1)/3) + C