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 127 Is there a symbol for “taking a derivative of something”? 91 Can sum of a rational number and its reciprocal be an integer? 40 Unexpected examples of natural logarithm 25 Find the probability that the thirteenth spade will appear before the thirteenth diamond? 19 An astounding identity: $\int_0^{\pi/2}\ln\lvert\sin(mx)\rvert\cdot \ln\lvert\sin(nx)\rvert\, dx$

### Reputation (22,627)

 +10 Why is this a mutiplication equation VS a division equation? +25 Reducing a triple integral +35 Find the limit of $\lim_{x\to\infty}\left(\frac{{(\sin(x))^{2}}{}}{{3}^{x}}\right)$ +5 Combinatorics Tile Problem

### Questions (197)

 202 “Integral Milking” 79 Do numbers get worse than transcendental? 61 Find three non-constant, pairwise unequal functions $f,g,h:\mathbb R\to \mathbb R$… 48 What numbers can be created by $1-x^2$ and $x/2$? 33 Painting the plane, and finding points one unit apart

### Tags (282)

 357 calculus × 80 132 number-theory × 23 201 algebra-precalculus × 41 128 definite-integrals × 53 198 sequences-and-series × 80 127 notation × 3 198 integration × 73 112 elementary-number-theory × 17 154 derivatives × 20 103 integers × 6

### Accounts (14)

 Mathematics 22,627 rep 840108 Puzzling 906 rep 121 Area 51 426 rep 9 Philosophy 163 rep 16 Writing 133 rep 4