Lucian
Reputation
100/100 score
1 39 105
Impact
~570k people reached

 76 What function can be differentiated twice, but not 3 times? 46 The square of an integer is equal to the sum of consecutive odd numbers 43 Can a logarithm have a function as a base? 43 Why is a rectangle a parallelogram, but a parallelogram is not a rectangle? 43 How can I write the numbers 5 and 7 as some sequence of operations on three 9s?

### Reputation (36,944)

 +10 Why is $e$ so special? +10 Why are $e$ and $\pi$ so common as results of seemingly unrelated fields? +10 What Is Exponentiation? +10 Is 7^2015 + 4^2015 divisible by 17? Explain your reasoning and show your work.

### Questions (15)

 35 Closed Form for $~\int_0^1\frac{\text{arctanh }x}{\tan\left(\frac\pi2~x\right)}~dx$ 28 Closed Form for the Imaginary Part of $\text{Li}_3\Big(\frac{1+i}2\Big)$ 22 Irreducibility of $~\frac{x^{6k+2}-x+1}{x^2-x+1}~$ over $\mathbb Q[x]$ 16 Elegantly Proving that $~\sqrt[5]{12}~-~\sqrt[12]5~>~\frac12$ 15 Proving that $\int_0^\infty\Big(\sqrt[n]{1+x^n}-x\Big)dx~=~\frac12\cdot{-1/n\choose+1/n}^{-1}$

### Tags (278)

 832 calculus × 407 210 algebra-precalculus × 90 673 integration × 374 205 limits × 122 345 sequences-and-series × 172 190 summation × 72 306 definite-integrals × 175 178 soft-question × 54 300 real-analysis × 108 170 complex-analysis × 52

### Accounts (4)

 Mathematics 36,944 rep 139105 Mathematics Educators 387 rep 34 MathOverflow 274 rep 1313 Linguistics 179 rep 15