Américo Tavares
Reputation
898/1000 score
5 54 151
Impact
~1.1m people reached

 82 Different methods to compute $\sum\limits_{n=1}^\infty \frac{1}{n^2}$ 34 Nice proofs of $\zeta(4) = \pi^4/90$? 33 Teenager solves Newton dynamics problem - where is the paper? 29 What is the result of infinity minus infinity? 27 Explain $\iint \mathrm dx\mathrm dy = \iint r \mathrm d\alpha\mathrm dr$

### Reputation (26,897)

 +5 Methods to find the limit of a sequence defined by a recurrence +20 Evaluation of $\int\frac{1}{x^4-5x^2+16}dx$ +10 arc length on circle +10 Evaluation of $\int\frac{5x^3+3x-1}{(x^3+3x+1)^3}dx$

### Questions (37)

 44 What is the importance of Calculus in today's Mathematics? 39 Is $\sqrt[3]{p+q\sqrt{3}}+\sqrt[3]{p-q\sqrt{3}}=n$, $(p,q,n)\in\mathbb{N} ^3$ solvable? 27 Asymptotic (divergent) series 24 What does closed form solution usually mean? 20 How to prove $\cos \frac{2\pi }{5}=\frac{-1+\sqrt{5}}{4}$?

### Tags (151)

 898 calculus × 217 200 indefinite-integrals × 49 536 integration × 124 168 definite-integrals × 30 417 algebra-precalculus × 116 150 limits × 40 413 trigonometry × 107 140 multivariable-calculus × 40 243 sequences-and-series × 52 124 geometry × 43

### Accounts (22)

 Mathematics 26,897 rep 554151 TeX - LaTeX 788 rep 616 MathOverflow 246 rep 310 Area 51 176 rep 5 Physics 128 rep 8