Mathematics
Profile Activity
Meta user
Network profile
Darío A. Gutiérrez
Summary Answers Questions Tags Badges Bookmarks Bounties Reputation All actions

126 Answers

Votes Activity Newest
17
Prove that $\gcd(a^n - 1, a^m - 1) = a^{\gcd(n, m)} - 1$
Dec 1 '17 at 14:34
14
How can I evaluate $\sum_{n=0}^\infty(n+1)x^n$?
Feb 24 '18 at 18:48
13
Proving $ \lim_{x\to\infty}\frac{\sqrt x\cos(x-x^2)}{x+1} = 0. $
Mar 27 '18 at 14:02
11
How can I calculate $\alpha=\arccos\left(-\frac{1}{4}\right)$ without using a calculator?
Nov 24 '17 at 14:35
8
Compute : $\int\frac{x+2}{\sqrt{x^2+5x}+6}~dx$
May 13 '17 at 10:15
5
Evaluation of Integral $\int \frac{x^2+1}{\sqrt{x^3+3}}dx$
Jan 21 '18 at 21:19
5
Why is $\Gamma\left(\frac{1}{2}\right)=\sqrt{\pi}$?
May 18 '17 at 20:48
4
Find $\int\sqrt{\sin x+\cos x}\,dx $
Sep 10 '18 at 8:32
4
$\frac{1}{2},\frac{5}{3},\frac{11}{8},\frac{27}{19},…$. Find its 10th term.
Apr 23 '18 at 14:06
4
Enumerative combinatorics applications in Computer Science
Sep 11 '16 at 19:46
3
Evaluating $\int\sqrt{1+\sin x}dx$.
May 18 '18 at 11:33
3
Prove that: $1-\frac 12+\frac 13-\frac 14+…+\frac {1}{199}- \frac{1}{200}=\frac{1}{101}+\frac{1}{102}+…+\frac{1}{200}$
Nov 3 '17 at 19:35
3
Is there an analytic solution for the equation $\log_{2}{x}+\log_{3}{x}+\log_{4}{x}=1$?
Aug 18 '17 at 7:23
3
How to determine equation for $\sum_{k=1}^n k^3$
Aug 6 '16 at 20:45
3
Prove that $\sum_{k=0}^nk{m+k \choose m}=n{m+n+1\choose m+1}-{m+n+1 \choose m+2}$
Sep 24 '16 at 16:15
2
Prove that $2005|\underbrace{55 \ldots5}_{800\text{ digits}}$
Nov 16 '18 at 14:18
2
Breaking a looping integral $\int\frac1x\ln(\frac1{x^2+1})dx$
Jul 12 '18 at 11:53
2
Sum to $n$ terms of the given series
Apr 24 '18 at 15:04
2
Given the function $f(x)=\frac {1}{\sqrt[3] {1-x^3}}$ find $\underbrace {f(f(\cdots f(19)\cdots))}_{95}$
Mar 21 '18 at 8:48
2
Difficult Radical Equation
Feb 1 '18 at 14:24
2
Prob. 4, Chap. 7, in Baby Rudin: On what intervals does the series converge uniformly?
Nov 27 '17 at 13:27
2
Proving $\cos(\sin^{-1}x)=\sqrt{1-x^2}$, not sure about the intervals
Nov 11 '17 at 23:41
2
How to prove that $\int_{0}^{\infty}\tan^{-1}(x)\cdot{\mathrm dx\over (1+x)^3}={1\over 4}?$
Oct 18 '17 at 20:56
2
Why is $2^{2^{2^n}}$ not equal to $16^n$?
Nov 23 '16 at 19:56
2
Convergence/divergence of $\sum_{k=1}^\infty\frac{2\times 4\times 6\times\cdots\times(2k)}{1\times 3\times 5\times\cdots\times(2k-1)}$
Sep 15 '16 at 20:52
1
Convergence of series and summation methods for divergent series
Mar 2 '19 at 20:35
1
Evaluate $\int \frac{\ln(t+\sqrt{t^2+1)}}{1+t^2} \, dt$
Nov 30 '18 at 15:54
1
Finding value of $ \int \frac{1}{x-\sqrt{9x^2+6x+4}}dx$
Oct 25 '18 at 14:54
1
How do you show that $\sum_{n=1}^{\infty}(-1)^{n}\dfrac{3n-1}{n^2 + n} = \log\left({32}\right) - 4$?
Oct 22 '18 at 17:05
1
Is there an intuitive explanation for the occurrence of e and pi in Stirling's approximation? - $n!\approx \sqrt{2\pi n} (n/e)^n$
Oct 22 '18 at 12:58
1
2 3 4 5

Your privacy

By clicking “Accept all cookies”, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy.