2 Part Question.
1) How do I use the 'fancy' font to describe formulas on this and other websites? It would make things much easier. I assume some kind of Alt-codes?
2) The actual question: Integral of (secxcos2x)dx/(sinx + secx)
The thoughts I've had: cos2x = cos^2x - sin^2x.. I could split up the fraction this way, but I don't see how it's helpful? Obviously d/dx sinx = cosx, but I can't seem to get rid of the 2x in cos2x. My algebra isn't too strong, but it's not possible right? secx = 1/cosx, but again, can't use this.
I'm sure it has something to do with substitution of some sort, integration by parts seems highly doubtful, due to the denominator.
I'd like tips instead of just the answer, but a tip which sends me firmly in the right direction!
Thanks so much for your help, this website has been fantastic resource for me.