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Math Attack
  • Member for 1 year, 3 months
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21 votes
1 answer
1k views

Solution of a meme integral: $\int \frac{x \sin(x)}{1+\cos(x)^2}\mathrm{d}x$

12 votes
1 answer
373 views

$\infty$-multifactorial: $\displaystyle z!_{(\infty)}:=\lim_{\alpha\to\infty}z!_{(\alpha)}$

10 votes
3 answers
1k views

Derivative as a matrix: $\mathbf{D}=\dfrac{\mathrm{d}}{\mathrm{d}x}$

8 votes
3 answers
461 views

Closed form of integral: $\displaystyle\int_{1}^{\infty}\frac{ax-b+1}{x^{\frac{1}{b}}}e^{-\frac{a}{b}x}\ln\left(ax-b+1\right)\mathrm{d}x$

7 votes
1 answer
779 views

How to evaluate $\displaystyle\int_{-\infty}^{\infty}e^{-\frac{x^{2}}{2}}\ln\left(1+e^{x}\right)\mathrm{d}x\textbf{ efficiently}$?

7 votes
2 answers
292 views

Analytic extension of $\text{Li}_0^{(1,0)}(z):=-\displaystyle\sum_{n=1}^{\infty}\ln(n)z^{n}$ for $|z|>1$

6 votes
0 answers
153 views

Taylor series of $\displaystyle x!_{(\infty)}=\prod_{j=1}^{\infty} j^{\text{sinc}(x-j)}$ - generalization of $\psi(z)$

5 votes
0 answers
77 views

Number of loops of a ball bouncing in a room with obstacles

5 votes
1 answer
219 views

How to express a Gaussian as a series of exponential? $\displaystyle e^{-x^2}=\sum_{n=1}^{\infty}c_n e^{-nx}$

4 votes
1 answer
469 views

Series involving derivative of Riemann Zeta function: $\displaystyle \sum_{k=2}^{\infty}\zeta'(k)x^{k-1}$

4 votes
2 answers
222 views

Advanced methods to explain indeterminate forms

4 votes
0 answers
565 views

(Almost) Impossible Integrals

4 votes
0 answers
135 views

Simplify a summation in the solution of $\displaystyle\int_{0}^{\infty}e^{-cx}x^{n}\arctan(ax)\mathrm{d}x$

4 votes
0 answers
80 views

Wolfram wishlist: series of $\Gamma(z)$ in $z=-m$. Cycle index of symmetric groups.

3 votes
1 answer
129 views

Compact form of solution of $\displaystyle\int_0^{\frac{\pi}{2}}\ln\left(1+\alpha^n\sin(x)^{2n}\right)\mathrm{d}x$

3 votes
2 answers
134 views

8 planes tangent 3 spheres in the space

3 votes
0 answers
126 views

Fractional Laguerre function $L_{n-\frac{1}{2}}(x)$

3 votes
0 answers
83 views

Residue involving Lambert function: $\underset{z=\frac{2}{\pi}W(\frac{\pi}{2})}{\text{Res}}\dfrac{1}{(e^{-\pi x}-x^2)^n}$

3 votes
0 answers
41 views

Regularization involving Stieltjes constants: $\displaystyle\sum_{k=1}^{\infty}\frac{\ln(k)^n}{k}\overset{\mathcal{R}}{=}\gamma_n$

3 votes
2 answers
175 views

Simplify a formula with 449 terms - Radical circle

3 votes
1 answer
162 views

Riemann sum $\displaystyle F(x)=\lim_{n\to\infty}\frac{1}{\ln(n)}\sum_{k=1}^{n}\text{sinc}(\pi(x+k)) \ln\left(\sin\left(\frac{k\pi}{2n}\right)\right)$

2 votes
0 answers
47 views

Rationalization of $\frac{1}{\sum_{i=1}^{n}\sqrt{a_i}}$ (symmetric formula with multi-index)

2 votes
1 answer
174 views

How to "speed up" a series $\displaystyle \sum_{k=0}^{\infty}a_k=\ell$

2 votes
2 answers
154 views

$\displaystyle\int_{0}^{\frac{\pi}{2}}\ln(1+\alpha^N\tan(x)^N)\mathrm{d}x\quad$ where $N\in\mathbb{N}$

2 votes
0 answers
70 views

Surface (superior and lateral) and volume of an ungula

2 votes
0 answers
131 views

Generating function of Clausen functions: $\displaystyle\sum_{n=1}^\infty \text{Cl}_{2n}(x)\frac{t^{2n}}{(2n)!}$

2 votes
1 answer
47 views

How to compute asymptotic expression for composition of function

2 votes
1 answer
243 views

Is there a norm for $\nabla$ operator? What is the meaning of $\sqrt{\Delta}$? [duplicate]

2 votes
3 answers
160 views

Parametric equation of a conic passing through 5 coplanar points in space

2 votes
0 answers
87 views

Complex polylogarithm/Clausen function/Fourier series