I get the arcsec.
This all whittles down to:
And we get
Is there any general formula for calculating integrals of the type other than (guess the function is not even included in LaTeX)? I was trying to figure it out and got something like but I'm not sure if it's (always) correct and where absolute values should be put.
Guess I got it: . Can someone confirm if it's correct? Thanks.
Thanks. It's just that using or is very uncommon in my neck of the woods. So I wanted to get something connected with . Here's my reasoning:
That way we get which yields
Now we can write it as and use the formula
And, finally coming back to our substitution, we get:
What do you think about it? I'm not sure about the absolute values, to my mind it should be .