Mathematics
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Jozef
  • Member for 12 years, 3 months
  • Last seen more than 9 years ago
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All Questions Answers
Score Newest
question
43
Prove: $\int_0^\infty \sin (x^2) \, dx$ converges.
Feb 2, 2012
question
37
Prove: $\binom{n}{k}^{-1}=(n+1)\int_{0}^{1}x^{k}(1-x)^{n-k}dx$ for $0 \leq k \leq n$
Nov 28, 2011
question
30
Prove that $f$ continuous and $\int_a^\infty |f(x)|\;dx$ finite imply $\lim\limits_{ x \to \infty } f(x)=0$
Feb 11, 2012
question
29
Prove: $\int_0^1 \frac{\ln x }{x-1} d x=\sum_1^\infty \frac{1}{n^2}$
Feb 11, 2012
question
29
An integrable and periodic function $f(x)$ satisfies $\int_{0}^{T}f(x)dx=\int_{a}^{a+T}f(x)dx$.
Dec 26, 2011
question
19
Does $\int_{1}^{\infty}\sin(x\log x)dx $ converge?
Feb 7, 2012
question
17
$K\subseteq \mathbb{R}^n$ is a compact space iff every continuous function in $K$ is bounded.
Jan 16, 2012
question
14
Compute: $\int_{0}^{1}\frac{x^4+1}{x^6+1}\, dx$
Jan 21, 2012
question
13
Use Fourier series for computing $\sum_{n=1}^{\infty}\frac{1}{(2n-1)^2}$
Feb 13, 2012
question
11
Why does $\int_{0}^{\infty}\frac{dx}{1+(x \sin x)^2}$ diverge?
Feb 8, 2012
Top network posts
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26
Finding the minimum cut of an undirected graph
19
Is the set of Turing machines which stops in at most 50 steps on all inputs, decidable?
15
Is it decidable whether a TM reaches some position on the tape?
14
For a Turing Machine $M_1$, how is the set of machines $M_2$ which are "shorter" than $M_1$ and which accept the same language decidable?
14
Closure against right quotient with a fixed language

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