New posts in substitution

Prove $\sum{\frac{1}{(x+2y)^2}} \geq\frac{1}{xy+yz+zx}$

inequality contest-math fractions substitution uvw

Calculate the integral $\int e^{\sin x}\,dx$

calculus integration exponential-function indefinite-integrals substitution

sed error: "invalid reference \1 on `s' command's RHS"

regex sed substitution

Solving $ax^3+bx^2+cx+d=0$ using a substitution different from Vieta's?

algebra-precalculus soft-question substitution cubics

Indefinite Integral $\int\sqrt[3]{\tan(x)}dx$

calculus integration indefinite-integrals substitution

$\int_{-\infty}^{\infty} \frac{e^{mx}}{(ae^{nx}+b)}dx$

definite-integrals substitution

Proving inequality $\frac{a}{b}+\frac{b}{c}+\frac{c}{a}+\frac{3\sqrt[3]{abc}}{a+b+c} \geq 4$

inequality radicals substitution cauchy-schwarz-inequality uvw

How to prove this inequality $\sqrt{\frac{ab+bc+cd+da+ac+bd}{6}}\geq \sqrt[3]{{\frac{abc+bcd+cda+dab}{4}}}$

inequality contest-math radicals substitution uvw

Prove the inequality $a^2bc+b^2cd+c^2da+d^2ab \leq 4$ with $a+b+c+d=4$

inequality substitution a.m.-g.m.-inequality rearrangement-inequality

How can I use a variable in the replacement side of the Perl substitution operator?

perl regex substitution

How prove this inequality $\sum\limits_{cyc}\frac{x+y}{\sqrt{x^2+xy+y^2+yz}}\ge 2+\sqrt{\frac{xy+yz+xz}{x^2+y^2+z^2}}$

inequality substitution cauchy-schwarz-inequality uvw rearrangement-inequality

Square root of $2$ is irrational

algebra-precalculus elementary-number-theory roots integers substitution

$f:\mathbb{R} \to \mathbb{R}$ such that $f(x+y^2+f(y)) = f(x-y^2-f(y))$

functions functional-equations substitution

How to solve this indefinite integral? $\int {t}{\sqrt{1+\cos(t)}} \,dt$

integration trigonometry indefinite-integrals radicals substitution

Command substitution: backticks or dollar sign / paren enclosed? [duplicate]

bash shell command substitution

Integral in terms of a parametric variable

integration definite-integrals substitution leibniz-integral-rule

For any triangle with sides $a$, $b$, $c$, show that $a^2b(a-b)+b^2c(b-c)+c^2a(c-a)\ge 0$

geometry inequality contest-math substitution buffalo-way

bash : Bad Substitution

string bash ubuntu substitution

How to avoid heredoc expanding variables? [duplicate]

bash escaping substitution heredoc

Why is this integration method not valid?

integration substitution