Recent content by Rhapsody83

Thank you all for your replies. I've ordered the book mentioned in my initial post today. I decided that since I'm going to spend a lot of time with this book, I may as well have a new most recent version. As long as I have answers to some problems, I can test my understanding. I'll be back here...

Thank you for clarifying, I'll definitely buy this book just after Christmas.

Please ignore this post (or if you're a mod, feel free to delete it). I just saw a look inside on Amazon (sure this was not there when I looked on my phone) and solutions are mentioned in the TOC.

TL;DR Summary: Does the book linked in the post contain answers to odd numbered questions at the back of the book? I'm considering buying the following book by James Stewart: Calculus: Early Transcendentals, Metric Edition. I asked ChatGPT and it said that most of Stewart's books have answers...

I think I fully understand what is going on now and PeroK's formula, which is obvious when you see it, makes it even clearer.

Thanks for this, I was very confused, but it makes sense now. Am I right in thinking that one that is not divided by two is the preferred one as it is a little simpler?

Last night I tried to calculate from an automatically generated Wolfram Alpha problem set: $$\int{\frac{1}{\sqrt{x^2+4}}}dx$$ I answered $$\ln({\frac{\sqrt{x^2+4}}{2}+\frac{x}{2}})+C$$ The answer sheet gave: $$\ln({\sqrt{x^2+4}+x})+C$$ I couldn't see where I had gone wrong, so I tried...

Thanks for replying. Now time to go and do some research on how to use LaTeX and to make my first actual post.

As you can see it rendered correctly when I posted. Not sure why it did not when I clicked preview as the link I gave said it would?

I'm new here and have never used LaTeX before, so excuse my ignorance. I looked up how to include equations in a post and found this link. I cannot get equations to render when clicking preview. I tried copying and pasting this: $$x = \frac {-b \pm \sqrt{b^2 -4ac}} {2a},$$ but it stays as raw...