Hi I am working on a integral involving u substiution and inverse trig forms.
Complete the square of the numberator of the radical:
Partially expand the square-completed numerator:
Simplify the expression in the radical by elimating the denominator:
Factor the portion in parenthesis in the radical:
Let
then
.
So now we have:
Notice this is the general arcsec integral formula, and so we have:
So substituting back in for
, we have:
I was pretty confident this was right but when I checked it using mathematica I got:
, which I checked as not being equivalent to my answer. Where might I have gone wrong?
Thanks for your help,
James