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TheSimpliFire

Temporary Note: Due to uni courses starting, for the next few weeks I will not be as active on SE as before. However, I'll still lurk around chats so feel free to ping me there.


Area 51 Proposal: Math Challenges! You're more than welcome to follow if interested.

Chatroom for proposal and meta post.


My WordPress blog is here!

About: Where I store any mathematical problems I've made up :)


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Just discovered a neat closed form of the following integral using $1$s and $2$s: $$\begin{align}\int_{\pi/8}^{\pi/4}\frac{\sin x+\cos x}{\tan x}\,dx&=\sqrt2-\frac{\sqrt{\sqrt2-1}+\sqrt{\sqrt2+1}}{\sqrt{2\sqrt2}}\\&\,\,\,\,\,\,+\ln\left(1+\sqrt2\sqrt{2-\sqrt2}\right)\end{align}$$

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