User Math Attack

6 votes

Integral $\int_{0}^{1}\frac{\ln\left(x^2\right)}{\left(1+x^{2}\right)\left(\pi^{2}+\ln^{2}x\right)}dx$

answered Aug 20 at 18:44

5 votes

Calculate the integral $\int\limits_{0}^{\infty }\frac{\ln x}{\sqrt[3]{x}(x+8)}dx$

answered Nov 19 at 0:38

5 votes

Accepted

How to tackle this integral $\int_0^1 \frac{x^p}{1-x} \ln \frac{1}{x} dx\quad (p>-1)$

answered 2 days ago

5 votes

Naïve definition of a measure on a fractal

answered Apr 30 at 0:34

4 votes

Can you graph $y^{4}x^{3}+x^{4}-y=0$ without a computer?

answered Apr 27 at 17:59

4 votes

How do I solve this for $x$?

answered Aug 31 at 20:03

3 votes

Find sum of the roots of $\frac{1}{x^2}+\frac{1}{(2-x)^2}=\frac{40}{9}$

answered Sep 10 at 9:51

3 votes

How do you simplify this expression? Multiple phenotypes are required.

answered Nov 13 at 8:48

3 votes

Accepted

$\int \frac{-1}{x-1}\,dx$ vs $-\int \frac{1}{x-1}\,dx$

answered Nov 22 at 18:51

3 votes

How to comprehend complex maps defined by iteration?

answered Nov 15 at 21:38

3 votes

Integral of Choose functions

answered Nov 24 at 15:42

3 votes

Accepted

Evaluated (maybe) $\int_0^\infty \int_0^1 \frac{\mathrm{Li}_2(t^x) \ln(1-t)} {t(1+x^2)}\ dt\ dx\ = -\frac{\pi^5}{144}$

answered Apr 27 at 21:07

3 votes

Definite integral $\int_{0}^{\infty} \frac{dx}{(1+e^{ax})(1+e^{x/a})}$

answered Apr 24 at 17:01

3 votes

Accepted

How to evaluate $\displaystyle \int_0^{\frac{\pi}{2}}\ln(1+\sin(t)^2)\mathrm{d}t$

answered May 11 at 9:27

3 votes

Accepted

Factorise $x^{15}+1$ into two integer polynomials, one of degree 6 and one of degree 9

answered May 11 at 15:13

2 votes

What do we know about the differential equation ${\mathrm{d}y\over\mathrm{d}x}= {Cy\over x}$?

answered May 7 at 19:22

2 votes

Why is $(X^{T}X+cI)^{-1} = (X^TX)^{-1}$ for ridge regression?

answered May 7 at 17:51

2 votes

Accepted

How to prove $\displaystyle\prod_{n=1}^{\infty}n^{\frac{(-1)^{n+1}}{n^2}}=\left(\frac{A^{12}}{4\pi e^{\gamma}}\right)^{\eta(2)}$

answered Apr 29 at 21:22

2 votes

multifactorial of non-integer

answered Sep 7 at 21:51

2 votes

How the Rice distribution is related to the Nakagami-m distribution?

answered Apr 26 at 19:00

2 votes

Limit $\lim _{t\to \infty} \int_t^\infty t \frac {\sin^2 (u)}{u^2} du$

answered Apr 29 at 14:35

2 votes

What does $e^{\cos(D)}$ do?

answered Apr 23 at 14:24

2 votes

If $S=1+\frac{1}{\sin x}+\frac{1}{\sin^2x}+...$ what's the measure of angle $x$?

answered Apr 23 at 19:30

2 votes

Accepted

Will Bodmas and Pemdas always yield the same results?

answered Apr 23 at 21:16

2 votes

2D and 3D finite rotation groups are very well behaved, what about 4D?

answered Apr 24 at 11:23

1 vote

Converting from parametric equation to algebraic (implicit) equation of a parabola

answered Apr 24 at 11:40

1 vote

Proof of inequality $x + x^{-1} - x^r - x^{-r} \geq 0$ for $x>0$ and $0<r<1$.

answered Apr 24 at 13:24

1 vote

Accepted

Solve quadratic equation expressed as sum of quadratic terms

answered Apr 23 at 22:17

1 vote

Solving an equation with quadratic and ratio constraints

answered Apr 23 at 23:44

1 vote

What is the generalized solution to $M = \int_0^1 (1-x^m)^n$?

answered Apr 24 at 10:33

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60 Answers

Integral $\int_{0}^{1}\frac{\ln\left(x^2\right)}{\left(1+x^{2}\right)\left(\pi^{2}+\ln^{2}x\right)}dx$

Calculate the integral $\int\limits_{0}^{\infty }\frac{\ln x}{\sqrt[3]{x}(x+8)}dx$

How to tackle this integral $\int_0^1 \frac{x^p}{1-x} \ln \frac{1}{x} dx\quad (p>-1)$

Naïve definition of a measure on a fractal

Can you graph $y^{4}x^{3}+x^{4}-y=0$ without a computer?

How do I solve this for $x$?

Find sum of the roots of $\frac{1}{x^2}+\frac{1}{(2-x)^2}=\frac{40}{9}$

How do you simplify this expression? Multiple phenotypes are required.

$\int \frac{-1}{x-1}\,dx$ vs $-\int \frac{1}{x-1}\,dx$

How to comprehend complex maps defined by iteration?

Integral of Choose functions

Evaluated (maybe) $\int_0^\infty \int_0^1 \frac{\mathrm{Li}_2(t^x) \ln(1-t)} {t(1+x^2)}\ dt\ dx\ = -\frac{\pi^5}{144}$

Definite integral $\int_{0}^{\infty} \frac{dx}{(1+e^{ax})(1+e^{x/a})}$

How to evaluate $\displaystyle \int_0^{\frac{\pi}{2}}\ln(1+\sin(t)^2)\mathrm{d}t$

Factorise $x^{15}+1$ into two integer polynomials, one of degree 6 and one of degree 9

What do we know about the differential equation ${\mathrm{d}y\over\mathrm{d}x}= {Cy\over x}$?

Why is $(X^{T}X+cI)^{-1} = (X^TX)^{-1}$ for ridge regression?

How to prove $\displaystyle\prod_{n=1}^{\infty}n^{\frac{(-1)^{n+1}}{n^2}}=\left(\frac{A^{12}}{4\pi e^{\gamma}}\right)^{\eta(2)}$

multifactorial of non-integer

How the Rice distribution is related to the Nakagami-m distribution?

Limit $\lim _{t\to \infty} \int_t^\infty t \frac {\sin^2 (u)}{u^2} du$

What does $e^{\cos(D)}$ do?

If $S=1+\frac{1}{\sin x}+\frac{1}{\sin^2x}+...$ what's the measure of angle $x$?

Will Bodmas and Pemdas always yield the same results?

2D and 3D finite rotation groups are very well behaved, what about 4D?

Converting from parametric equation to algebraic (implicit) equation of a parabola

Proof of inequality $x + x^{-1} - x^r - x^{-r} \geq 0$ for $x>0$ and $0<r<1$.

Solve quadratic equation expressed as sum of quadratic terms

Solving an equation with quadratic and ratio constraints

What is the generalized solution to $M = \int_0^1 (1-x^m)^n$?