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Raymond Manzoni

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115
Examples of apparent patterns that eventually fail
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67
Help find hard integrals that evaluate to $59$?
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60
Getting the sequence $1, 0, -1, 0, 1, 0, -1, 0, \ldots$ without trig?
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49
How to determine with certainty that a function has no elementary antiderivative?
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42
How did Hermite calculate $e^{\pi\sqrt{163}}$ in 1859?
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29
Why do we need to learn integration techniques?
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24
Approximation of $e$ using $\pi$ and $\phi$?
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16
How to prove by arithmetical means that $\sum\limits_{k=1}^\infty \frac{((k-1)!)^2}{(2k)!} =\frac{1}{3}\sum\limits_{k=1}^{\infty}\frac{1}{k^{2}}$
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16
Evaluate $\sum_{k=1}^\infty \frac{k^2}{(k-1)!}$.
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15
What is the sum of $\sum\limits_{i=1}^{n}ip^i$?
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15
How to check if a point is inside a rectangle?
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13
How do you explain the concept of logarithm to a five year old?
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13
Show $\int_{0}^{\frac{\pi}{2}}\frac{x^{2}}{x^{2}+\ln^{2}(2\cos(x))}dx=\frac{\pi}{8}\left(1-\gamma+\ln(2\pi)\right)$
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13
Two Representations of the Prime Counting Function
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12
Indian claims finding new cube root formula
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12
Evaluation of $\sum\limits_{n=0}^\infty \left(\operatorname{Si}(n)-\frac{\pi}{2}\right)$?
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12
How not to prove the Riemann hypothesis
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11
General formula of $I_{2n} = \int_{-\infty}^{+\infty} e^{-x^{2n}}dx$
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11
How to evaluate these integrals by hand
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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?
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10
What and where in the notebooks of Ramanujan is this series?
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10
Evaluating $\int_1^3\frac{\ln(x+2)}{x^2+2x+15} \ dx$
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10
Evaluating $I(x)=\int_{0}^{\infty}\frac{e^{-xy}}{y^2+a^2}dy$
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10
Why is the last digit of $n^5$ equal to the last digit of $n$?
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10
Two Representations of the Prime Counting Function
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10
Help with evaluating a sum
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9
How to figure out the log of a number without a calculator?
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9
What function has a graph that looks like this?
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9
Compute $\lim_{n\to\infty} \left(\int_0^{\pi} \frac{\sin^2 n x}{\sin x} \ dx-\sum_{k=1}^n \frac{1}{k}\right)$
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9
Limit of series involving ratio of two factorials
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