User Enrico M. - Mathematics Stack Exchange

65 votes

Accepted

Is there a way to find the log of very large numbers?

answered Mar 17, 2018 at 18:32

28 votes

What is the solution to Nash's problem presented in "A Beautiful Mind"?

answered Sep 3, 2016 at 12:34

24 votes

Square of a differential

answered Nov 28, 2015 at 23:16

21 votes

Unifying the connections between the trigonometric and hyperbolic functions

answered Jan 25, 2021 at 19:07

14 votes

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Integrate $x^2 e^{-x^2/2}$

answered Sep 30, 2016 at 18:56

11 votes

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Convergence of $\int_{0}^{+\infty} \frac{x}{1+e^x}\,dx$

answered Feb 20, 2016 at 17:54

9 votes

$\sum k! = 1! +2! +3! + \cdots + n!$ ,is there a generic formula for this?

answered Feb 23, 2016 at 17:55

9 votes

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Pythagoras: Get b when only a and angle α are given

answered Jan 6, 2018 at 18:53

8 votes

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Help with $\lim_{x\to \infty}{\sin{1\over x}\over {1\over x}}$

answered Sep 26, 2016 at 22:34

8 votes

What number comes next in the sequence $7, 16, 8, 27, 9,...$?

answered Feb 12, 2016 at 18:37

8 votes

Evaluate $\int_{-\infty}^{\infty}\frac{\sin x}{x}\mathop{}\! \mathrm dx$

answered Mar 3, 2016 at 12:17

8 votes

Good substitution for this integral

answered Mar 9, 2016 at 16:04

8 votes

A hint to calculate the integral $\int^1_0 \frac{\log x}{1-x}dx$

answered Mar 11, 2018 at 16:10

7 votes

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Why is $x^2\ln\sqrt{x}$ equal to $\frac{x^2}{2}\ln x$?

answered Mar 9, 2016 at 14:46

7 votes

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What is the most general form of the Navier-Stokes equation?

answered Jan 23, 2017 at 9:02

7 votes

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$i^i \approx 1/5$ or what is it?

answered Dec 15, 2017 at 17:20

6 votes

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Is $9*(1/9) = 0.99999999...$ statement correct?

answered Nov 15, 2016 at 13:44

6 votes

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Choosing a substitution to evaluate $\int \frac{x+3}{\sqrt{x+2}}dx$

answered Jan 31, 2016 at 11:58

6 votes

Find the power series representation of $e^{-x^2}$

answered Jun 29, 2016 at 14:18

6 votes

Accepted

Sum of series $n\cdot\sin x^n$

answered Feb 19, 2018 at 17:37

6 votes

Calculate integral with help the Euler's integrals

answered Mar 19, 2018 at 12:08

6 votes

Find the coefficient of $x^{16}$ in $(1 + x + x^2 + x^3 + x^4 + x^5)^4$

answered Jan 30, 2021 at 21:43

6 votes

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Solutions of the equation $x^2+1 = 0$

answered Aug 14, 2022 at 16:26

6 votes

Integral: $\int_{0}^{1}\frac{\arctan^{2}\left(x\right)}{x}dx$

answered Aug 20, 2022 at 12:58

5 votes

Does this generalization of matrix exponential formula make sense?

answered Aug 22, 2022 at 15:04

5 votes

Proving $x^2+x+1\gt0$

answered Jun 28, 2018 at 7:49

5 votes

Accepted

Integral of $x^{\sqrt x}$

answered Mar 16, 2016 at 12:33

5 votes

$P^2 + P + 1$ is prime if $P$ is prime.

answered Aug 31, 2016 at 17:29

5 votes

Accepted

Solution of $\int_0^\infty\frac{\ln(1+{x^2})}{1+{x^2}}$

answered Sep 2, 2016 at 11:59

5 votes

definite integral of a trigonometric function with log

answered Sep 24, 2016 at 9:09

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902 Answers

Is there a way to find the log of very large numbers?

What is the solution to Nash's problem presented in "A Beautiful Mind"?

Square of a differential

Unifying the connections between the trigonometric and hyperbolic functions

Integrate $x^2 e^{-x^2/2}$

Convergence of $\int_{0}^{+\infty} \frac{x}{1+e^x}\,dx$

$\sum k! = 1! +2! +3! + \cdots + n!$ ,is there a generic formula for this?

Pythagoras: Get b when only a and angle α are given

Help with $\lim_{x\to \infty}{\sin{1\over x}\over {1\over x}}$

What number comes next in the sequence $7, 16, 8, 27, 9,...$?

Evaluate $\int_{-\infty}^{\infty}\frac{\sin x}{x}\mathop{}\! \mathrm dx$

Good substitution for this integral

A hint to calculate the integral $\int^1_0 \frac{\log x}{1-x}dx$

Why is $x^2\ln\sqrt{x}$ equal to $\frac{x^2}{2}\ln x$?

What is the most general form of the Navier-Stokes equation?

$i^i \approx 1/5$ or what is it?

Is $9*(1/9) = 0.99999999...$ statement correct?

Choosing a substitution to evaluate $\int \frac{x+3}{\sqrt{x+2}}dx$

Find the power series representation of $e^{-x^2}$

Sum of series $n\cdot\sin x^n$

Calculate integral with help the Euler's integrals

Find the coefficient of $x^{16}$ in $(1 + x + x^2 + x^3 + x^4 + x^5)^4$

Solutions of the equation $x^2+1 = 0$

Integral: $\int_{0}^{1}\frac{\arctan^{2}\left(x\right)}{x}dx$

Does this generalization of matrix exponential formula make sense?

Proving $x^2+x+1\gt0$

Integral of $x^{\sqrt x}$

$P^2 + P + 1$ is prime if $P$ is prime.

Solution of $\int_0^\infty\frac{\ln(1+{x^2})}{1+{x^2}}$

definite integral of a trigonometric function with log