Evaluate the integral

Let's rewrite the integrand by completing the square of the denominator,

Now let's apply the integral substitution,

Let 

du=1dx

Now apply the sum rule,

Now let's evaluate the first integral by applying the integral substitution,

Let 

substitute back 

Now let's evaluate the second integral using integral substitution,

For substitute ,

Let 

Now use the identity:

assuming sec(v)

Now using the common integral,

Substitute back 

Substitute back 

add a constant C to the solution,