Expert Integration Help: Solving (dx)/(a-bx^2) with Wolfram | Tips & Tricks

[Jackk]

Hi,

can anyone help me with integration

integral (dx)/(a-bx^2)

First I checked the correct result with Wolfram and it gave the following
http://integrals.wolfram.com/index.jsp?expr=1%2F%28a-bx^2%29&random=false which really confused me what to do.

Thanks in advance

 

[Mark44]

Factor the denominator into (sqrt(a) - sqrt(b)*x)(sqrt(a) + sqrt(b)*x), and then use partial fraction decomposition to rewrite the integrand as A/(sqrt(a) - sqrt(b)*x) + B/(sqrt(a) + sqrt(b)*x).