Raymond Manzoni

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373 Answers

newest activity votes
116
Examples of apparent patterns that eventually fail
67
Help find hard integrals that evaluate to $59$?
61
Getting the sequence $1, 0, -1, 0, 1, 0, -1, 0, \ldots$ without trig?
49
How to determine with certainty that a function has no elementary antiderivative?
43
How did Hermite calculate $e^{\pi\sqrt{163}}$ in 1859?
29
Why do we need to learn integration techniques?
24
Approximation of $e$ using $\pi$ and $\phi$?
16
Evaluate $\sum_{k=1}^\infty \frac{k^2}{(k-1)!}$.
16
How to prove by arithmetical means that $\sum\limits_{k=1}^\infty \frac{((k-1)!)^2}{(2k)!} =\frac{1}{3}\sum\limits_{k=1}^{\infty}\frac{1}{k^{2}}$
15
How to check if a point is inside a rectangle?
15
What is the sum of $\sum\limits_{i=1}^{n}ip^i$?
13
Two Representations of the Prime Counting Function
13
Show $\int_{0}^{\frac{\pi}{2}}\frac{x^{2}}{x^{2}+\ln^{2}(2\cos(x))}dx=\frac{\pi}{8}\left(1-\gamma+\ln(2\pi)\right)$
13
How do you explain the concept of logarithm to a five year old?
12
How not to prove the Riemann hypothesis
12
Evaluation of $\sum\limits_{n=0}^\infty \left(\operatorname{Si}(n)-\frac{\pi}{2}\right)$?
12
Indian claims finding new cube root formula
11
How to evaluate these integrals by hand
11
General formula of $I_{2n} = \int_{-\infty}^{+\infty} e^{-x^{2n}}dx$
10
Help with evaluating a sum
10
Two Representations of the Prime Counting Function
10
Why is the last digit of $n^5$ equal to the last digit of $n$?
10
Evaluating $I(x)=\int_{0}^{\infty}\frac{e^{-xy}}{y^2+a^2}dy$
10
Evaluating $\int_1^3\frac{\ln(x+2)}{x^2+2x+15} \ dx$
10
What and where in the notebooks of Ramanujan is this series?
10
In class today, we had to find a closed generating function for $A_n=2n+1$. The sequence of the odd natural numbers. Anyone with an idea?
9
Limit of series involving ratio of two factorials
9
Compute $\lim_{n\to\infty} \left(\int_0^{\pi} \frac{\sin^2 n x}{\sin x} \ dx-\sum_{k=1}^n \frac{1}{k}\right)$
9
What function has a graph that looks like this?
9
How to figure out the log of a number without a calculator?
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