# Américo Tavares

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bio website problemasteoremas.wordpress.c… location Queluz, Portugal age 63 member for 3 years, 8 months seen 6 mins ago profile views 6,596

I am a retired electrical engineer, Portuguese. My math weblog is Problemas e Teoremas.

 56 Different methods to compute $\sum\limits_{n=1}^\infty \frac{1}{n^2}$ 30 Teenager solves Newton dynamics problem - where is the paper? 27 What is the result of infinity minus infinity? 25 Explain $\iint \mathrm dx\mathrm dy = \iint r \mathrm d\alpha\mathrm dr$ 25 Nice proofs of $\zeta(4) = \pi^4/90$?

# 24,663 Reputation

 +10 How to Determine if a Function is One-to-One +50 What is the easiest way to integrate $y=\frac {x+4}{\sqrt{-x^2-2x+3}}$? +30 Fun Integral $\int \frac{dx}{\cos^3 x+2\sin(2x)-5\cos x}$ +10 answer to the $(x+1)(x+2)+(x+3)(x+4)+\cdots+(x+99)(x+100)$?

# 37 Questions

 42 What is the importance of Calculus in today's Mathematics? 34 Is $\sqrt[3]{p+q\sqrt{3}}+\sqrt[3]{p-q\sqrt{3}}=n$, $(p,q,n)\in\mathbb{N} ^3$ solvable? 25 Asymptotic (divergent) series 20 Generalizing $\sum \limits_{n=1}^{\infty }n^{2}/x^{n}$ to $\sum \limits_{n=1}^{\infty }n^{p}/x^{n}$ 18 What does closed form solution usually mean?

# 146 Tags

 802 calculus × 205 220 sequences-and-series × 52 482 integration × 116 174 indefinite-integrals × 44 376 algebra-precalculus × 108 156 definite-integrals × 29 361 trigonometry × 95 146 limits × 40 311 homework × 93 127 multivariable-calculus × 39

# 17 Accounts

 Mathematics 24,663 rep 543123 TeX - LaTeX 733 rep 613 MathOverflow 246 rep 310 Area 51 176 rep 5 Physics 128 rep 7