Integral of:

I completed the square on the denominator to rewrite it as:

When I try to solve this, I let:

So we get the integral of:

Then I set:

This simplifies to just the integral of:

The integral of this is:

When I setup a right triangle, I get the following sides:

Hypotenuse:sqrt((x+1)^2+64)

Adjacenet: 8

Opposite: x+1

When I use these values to replace tan(theta) and sec(theta) my final answer is:

However, the online website has a different answer. It has the same basic terms but without dividing by 8. Where am I going wrong?