Mathematics
Tito Eliatron's user avatar
Tito Eliatron's user avatar
Tito Eliatron's user avatar
Tito Eliatron
  • Member for 10 years, 5 months
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Mathematical Analysis professor at University of Seville.

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All Questions Answers
Score Newest
answer
13
Given $\tan\alpha=2$, evaluate $\frac{\sin^{3}\alpha - 2\cos^{3}\alpha + 3\cos\alpha}{3\sin\alpha +2\cos\alpha}$
Dec 2, 2018
answer
13
Evaluate $\int \frac{\left(x^2+x+3\right)\left(x^3+7\right)}{x+1}dx$.
Jan 28, 2021
answer
11
if $x^5=1$ with $x\neq 1$ then find value of $\frac{x}{1+x^2}+\frac{x^2}{1+x^4}+\frac{x^3}{1+x}+\frac{x^4}{1+x^3}$
Sep 29, 2020
answer
8
Prove that for $a_k>0,$ if $\sum a_k^2$ converges, then $\sum \frac{a_k}k$ converges.
Jan 31, 2019
answer
8
Given $f$ is continuous and nonnegative on $[1,11]$ with $\int_{1}^{11}f(x)dx=6$. Show that $\int_{0}^{2}f(-x^3+3x^2+3x+1)dx$ is less or equal to 2.
Dec 4, 2020
answer
7
How to integrate $\int_{0}^{2} \sqrt{x+\sqrt{x+\sqrt{x+\cdots}}}\,dx$?
Nov 1, 2018
answer
7
Prove $-a\cdot e\cdot \ln(x)\le x^{-a}$
Jan 22, 2021
answer
6
Calculating $\lim_{n\to \infty}{\left(\frac{n}{n+3}\right)^\sqrt{n(n+1)}}$
Nov 7, 2018
question
5
Is there a change of variables that allows one to calculate $\int_0^\pi \frac{1}{4-3\cos^2 x}\, \mathrm dx$ avoiding improperties?
Jan 18, 2017
answer
5
what is $\lim_{z\rightarrow 0}{(\cos(z))^{1/z^2}}$
Nov 25, 2020
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Filled level sets of harmonic functions

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