Oliver Spryn
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 Dec25 comment Show ${156 \choose 87} + {156 \choose 86} = {157 \choose 87}$ Thank you for your input, but this was a problem I had on a test... Nov5 comment Combinatorics: When To Use Different Counting Techniques Ok, that is really simple. Thank you, Austin! Nov5 comment Combinatorics: When To Use Different Counting Techniques @amWhy I agree. Nov5 comment Combinatorics: When To Use Different Counting Techniques This is FABulous! Could you please also answer the second to last one, where a constant is used? Nov5 comment Combinatorics: When To Use Different Counting Techniques @amWhy Yes, that is correct. Basic problems are just that, basic, and not to hard to grasp. Oct11 comment Pythagorean theorem: $A^2 + A^2 = C^2$ How to solve for $A$? @Campbeln Not a problem! If you found my answer helpful, could you accept the answer, please? Oct11 comment How is $2 + e^{t^2} - e^{-t^2}$ Equal to $(e^t + e^{-t})^2$? Oh... Thank you for making that clear. The \frac{e^t}{e^t} cancel to give one. That is clear in the way you broke it up. Unfortunately, I was given the longer expression to start with, and had to see if it simplified, so I didn't have the opportunity to work backwards. Oct11 comment How is $2 + e^{t^2} - e^{-t^2}$ Equal to $(e^t + e^{-t})^2$? @AustinMohr Yep, I made a silly typo. Mar15 comment Divide with remainder $\frac{x^2}{x^2 + x + 2}$ Woo-hoo! Just what I was looking for! Thank you, Arturo! Mar14 comment Equivalent to \begin{align}\int \cos{\left(2x\right)} \ dx\end{align}? Thank you all!! Mar14 comment Equivalent to \begin{align}\int \cos{\left(2x\right)} \ dx\end{align}? @anon You'd have to dig around to find what I'm references. Mar12 comment Integration: How to Begin? Hmm... how can we stop thinking in terms of right triangles if the above example uses $\tan{x}$ and $\cos{x}$? Plus, by having a square root, we easily know that it would (in this case) exist as the hypotenuse of the triangle. Mar12 comment Integration: How to Begin? The only problem is, that I don't understand why this works (or really how to set it up) since we aren't working with a square root here. Mar12 comment Integration: How to Begin? Whoops, fixed. ;) Mar12 comment Why Doesn't This Integral $\int \frac{\sqrt{x^2 - 9}}{x^2} \ dx$ Work? Fixed the above work. Interestingly, it only resulted in a few sign changes. Any further ideas? Mar12 comment Integration: How to Begin? What a coincidence that this question was posted on the same day as mine. Wonder if we're working from the book, at the same time, (from the same school, in the same class)? lol Thank you, Sivaram Mar12 comment Why Doesn't This Integral $\int \frac{\sqrt{x^2 - 9}}{x^2} \ dx$ Work? (cold chills) ... yes, your right, let me try re-evaluating Mar5 comment Divide inside a Radical That really makes everything clear. Thank you! Mar4 comment Divide inside a Radical Actually, I understand your comment. :) But if you would like to learn how to make square roots, fractions, powers, etc... you can do that by typing to dollar signs in a row, then between the dollar signs, type in LaTeX code. If you are not familiar with LaTeX, Wikibooks has an article on it: en.wikibooks.org/wiki/LaTeX For a quick start, just click the "edit" link underneath my original post, and you can see how I did it. ;) Mar4 comment Divide inside a Radical I see your comment now. Thank you for the additional details!