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Feb
14
comment Compute the integral $\int\frac{e^x}{x}dx$
It cannot be integrated, it's a special function.
Feb
11
comment How to prove that Fibonacci number is integer?
@DanielFischer: That should be an answer!
Feb
11
comment How to prove that Fibonacci number is integer?
@JyrkiLahtonen: Maybe I was a bit unclear, I'm looking of proof with that Golden ratio formula.
Nov
9
comment How to approximate a function to Inegrate
Is $N$ and $A$ just an integers?
Sep
11
comment How to find this nice limit: $I=\lim_{t\to0^{+}}\lim_{x\to+\infty}f(x,t)$
Just in case: are there is $\arctan (t^\frac{3}{2})$ or $(\arctan t)^\frac{3}{2}$?
Jul
28
comment Can someone explain Gödel's incompleteness theorems in layman terms?
I recommend to read the "Gödel, Escher, Bach: An Eternal Golden Braid" by Douglas Hofstadter, I found it very, very interesting and, also, related to the topic. Surprised no one have recommend it yet...
Apr
29
comment How to simplify or factor this equation
What is $x(2)$? Is it a $x^2$ or something else?
Mar
27
comment $ \int_0^1 |f(x)-t| \, dx \le \frac{(1-t)^2+1}{2}$
Are you sure about the $t$ being there?
Mar
21
comment $\int_{-\infty}^{\infty}e^{-at^2}\cos btdt=?$
With $a < 0$ this integral does not converge on $(-\infty, \infty)$.
Mar
21
comment Infinite powering by $ i$
Can you share a Mathematica Notebook?
Mar
16
comment How to find $\lim_{x\to0^+}\frac{1 - \frac{2}{\pi} \arcsin(_{2}F_{1}(1/2, 1/2, 3/2, x^4))}{x^2}$?
@JavaMan: That's a hypergeometric function.
Feb
25
comment How do I solve this integral using complex analysis?
@Tom: So it has $x$ as a parameter?
Feb
11
comment How to evaluate $\xi(0)$?
Hint: look here for additional Riemann Zeta function expansions. Take a look at the equation (20) there.
Jan
7
comment How do you find solutions to $2 x^2 +3 x +1 = y^2$ using integers for $x,y$
Is it $= y$ (as stated in title) or $= y^2$ (as stated in question)?
Dec
22
comment Plotting $(x^2 + y^2 - 1)^3 - x^2 y^3 = 0$
@Eckhard: I'm asking of some explanation like this.
Dec
16
comment Solving an equation with an integral
@Fabian: I'm also meet so troubles when I start to apply my hint - looks like it was to good to be true.
Dec
16
comment Solving an equation with an integral
@Fabian: This is the Fredholm equation and the integral represent the convolution with the kernel (kernel and function can be choosed arbitrary in this particular case - no $t$ in under-integral functions). And for every (I don't know a contradiction example) integral transform the convolution of two function transforms into the multiplication of the transforms. See convolution theorem for details. And the constant would naturally appear after transforms.
Dec
16
comment Solving an equation with an integral
@Fabian: The transform would "eat" the integral and we'll have the multiply of two images: $\mathcal{F}[v(x)]\cdot \mathcal{F}[x+1]$. And $\mathcal{F}[f(t)]$.
Dec
16
comment Solving an equation with an integral
Hint: consider taking the Fourier or Laplace transform from both sides, solve algebraic equation and making the inverse transform.
Dec
16
comment Intersecting circles
Welcome to Math.SE! And what have you tried so far?