Name: Anonymous 2007-09-07 6:56 ID:aUWkAQYB
Alright, I hope you guys don't mind me asking this but I literally have nowhere else to look.
I've always been horrible with integrals.
The problem is ∫ 1/(t^2)sqrt(25+t^2) dt
I substituted 5tanӨ for x so now I have
∫ 1/(tan^2(Ө))sqrt(25+25tan^2(Ө)) * 5/cosӨ dӨ
I manage to turn this into
∫ secӨ/25+tan(Ө) dӨ
But I am now absolutely stumped at how I should proceed. I have the integrals of both of the expressions, but it looks like this isn't an f'(x)/f(x) situation, so that destroyed whatever help my book or notes could give me on this.
I've always been horrible with integrals.
The problem is ∫ 1/(t^2)sqrt(25+t^2) dt
I substituted 5tanӨ for x so now I have
∫ 1/(tan^2(Ө))sqrt(25+25tan^2(Ө)) * 5/cosӨ dӨ
I manage to turn this into
∫ secӨ/25+tan(Ө) dӨ
But I am now absolutely stumped at how I should proceed. I have the integrals of both of the expressions, but it looks like this isn't an f'(x)/f(x) situation, so that destroyed whatever help my book or notes could give me on this.