Aryabhata
Reputation
419/400 score
5 136 224
Impact
~1.6m people reached

 162 Solving the integral $\int_{0}^{\infty} \frac{\sin{x}}{x} \ dx = \frac{\pi}{2}$? 114 Comparing $\pi^{e}$ and $e^{\pi}$ 66 Which one result in mathematics has surprised you the most? 61 Calculating the integral $\int_{0}^{\infty} \frac{\cos x}{1+x^2}\mathrm{d}x$ without using complex analysis 58 Root Calculation by Hand

### Reputation (61,537)

 +10 Comparing $\pi^{e}$ and $e^{\pi}$ +10 Solving the integral $\int_{0}^{\infty} \frac{\sin{x}}{x} \ dx = \frac{\pi}{2}$? +10 Series converges implies $\lim{n a_n} = 0$ +10 Recognizable vs Decidable

### Questions (12)

 59 $5^n+n$ is never prime? 50 Convergence of $\sqrt{n}x_{n}$ where $x_{n+1} = \sin(x_{n})$ 44 Evaluating $\int P(\sin x, \cos x) \text{d}x$ 42 A zero sum subset of a sum-full set 31 History of “Show that $44\dots 88 \dots 9$ is a perfect square”

### Tags (194)

 1k calculus × 142 519 number-theory × 69 865 real-analysis × 88 510 integration × 43 770 sequences-and-series × 117 419 algebra-precalculus × 83 632 combinatorics × 122 418 trigonometry × 60 529 analysis × 52 379 elementary-number-theory × 59

### Accounts (10)

 Mathematics 61,537 rep 5136224 Computer Science 4,275 rep 1940 Board & Card Games 3,658 rep 1027 Theoretical Computer Science 1,490 rep 31627 Area 51 272 rep 3