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Martin.s
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Hey guys I'm 17 year old boy who loves math

$\sqrt{\style{content:url(https://i.giphy.com/media/v1.Y2lkPTc5MGI3NjExMjFuY2RjdmY3ZnVvdWE1a3BqaWUycW0zYXozMm4yYzZjNzkwOXBqMiZlcD12MV9pbnRlcm5hbF9naWZfYnlfaWQmY3Q9Zw/ikXKn0uE5yF2glLQeF/giphy.gif)}{\Rule{10.1em}{3.3em}{3.4em}}}$ profile for Martin.s at Mathematics Stack Exchange, Q&A for people studying math at any level and professionals in related fields

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15
Show that $\int_{-\pi/2}^{\pi/2}\sin(\tan(\tan(x)))\tan(x)dx=\frac{\pi}{e^{(e^2-1)/(e^2+1)}}-\frac{\pi}{e}$
14
How to evaluate $\int_{0}^{\frac{\pi}{2}} \frac{\cos(x)}{(1 + \sqrt{\sin(2x)})^n} \,dx$
13
Prove that if $\{a_{k}\}$ is a sequence of real numbers such that $\sum_{k=1}^{\infty} \frac{|a_{k}|}{k} = \infty$,
12
Does a Fixed Sequence of Moves Solve Any Rubik's Cube Configuration When Repeated Enough Times?
11
Show that $\sum_{n=1}^{+\infty}\frac{1}{(n\cdot\sinh(n\pi))^2} = \frac{2}{3}\sum_{n=1}^{+\infty}\frac{(-1)^{n-1}}{(2n-1)^2} - \frac{11\pi^2}{180}$