List questions from substitution

Published on 14 Feb 2019 - 18:16

116

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Showing an inequality using Cauchy-Schwarz

Published on 14 Feb 2019 - 20:30

182

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Substitution Theorem on "A Concise Introduction to Mathematical Logic" by W. Rautenberg

Published on 16 Feb 2019 - 18:03

787

Views

If $a$, $b$ and $c$ are sides of a triangle, then prove that $a^\text{2}(b+c-a) + b^\text{2}(c+a-b) + c^\text{2}(a+b-c)$ $\leqslant$ $3abc$

Published on 25 Mar 2026 - 7:46

137

Views

Integration by inverse substitution - some necessary condition(s)

Published on 21 Feb 2019 - 13:58

151

Views

show this inequality $\sum\frac{x}{2+xy}\ge\frac{1}{2}$

Published on 21 Feb 2019 - 14:56

113

Views

Inequality with a+b+c=1 and $18(a^4+b^4+c^4)+6(a^2+b^2+c^2)+1\geq24(a^3+b^3+c^3)$

Published on 25 Mar 2026 - 4:42

315

Views

Show that $a_n = 5a_{n-1} - 6a_{n-2}$ for all integers $n$ with $n \geq 2$

Published on 23 Feb 2019 - 22:07

818

Views

Find maximum value by using AM-GM inequality

Published on 24 Mar 2026 - 23:41

769

Views

Integration by substitution in different dimensions

Published on 26 Feb 2019 - 10:45

78

Views

3-variable symmetric inequality

Published on 24 Mar 2026 - 23:41

508

Views

Integration by Substitution in $\int_0^{\infty}x^r\frac 1{\sqrt{2\pi}x}e^{-(\log x)^2/2}[\sin(2\pi\log x)]dx$

Published on 25 Mar 2026 - 22:06

60

Views

Substitution in a parabolic equation

Published on 28 Feb 2019 - 19:39

152

Views

$\frac{a}{a^a+1}+\frac{b}{b^b+1}+\frac{c}{c^c+1}\leq \frac{3}{2}$ with $abc=1$

Published on 25 Mar 2026 - 1:20

83

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Prove that in every triangle the inequality $a^3r_a + b^3r_b + c^3r_c \ge 8S(2R-r)^2 $ takes place

Published on 25 Mar 2026 - 23:42

List Question

Determine a valid substitution for a differential equation

Showing an inequality using Cauchy-Schwarz

Substitution Theorem on "A Concise Introduction to Mathematical Logic" by W. Rautenberg

If $a$, $b$ and $c$ are sides of a triangle, then prove that $a^\text{2}(b+c-a) + b^\text{2}(c+a-b) + c^\text{2}(a+b-c)$ $\leqslant$ $3abc$

Integration by inverse substitution - some necessary condition(s)

show this inequality $\sum\frac{x}{2+xy}\ge\frac{1}{2}$

Inequality with a+b+c=1 and $18(a^4+b^4+c^4)+6(a^2+b^2+c^2)+1\geq24(a^3+b^3+c^3)$

Show that $a_n = 5a_{n-1} - 6a_{n-2}$ for all integers $n$ with $n \geq 2$

Find maximum value by using AM-GM inequality

Integration by substitution in different dimensions

3-variable symmetric inequality

Integration by Substitution in $\int_0^{\infty}x^r\frac 1{\sqrt{2\pi}x}e^{-(\log x)^2/2}[\sin(2\pi\log x)]dx$

Substitution in a parabolic equation

$\frac{a}{a^a+1}+\frac{b}{b^b+1}+\frac{c}{c^c+1}\leq \frac{3}{2}$ with $abc=1$

Prove that in every triangle the inequality $a^3r_a + b^3r_b + c^3r_c \ge 8S(2R-r)^2 $ takes place

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