List questions from substitution

Published on 20 May 2019 - 14:31

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The integral of $5/\left(x^2+2\right)$

Published on 20 May 2019 - 15:50

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$U = \frac{h\omega}{e^{hw/KT}-1}\approx KT - \frac{h\omega}{2}+....O(\frac{h\omega}{KT})$

Published on 20 May 2019 - 18:22

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How to use half angle trigonometric substitution on x/cos(x)

Published on 21 May 2019 - 0:32

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real solution of equation $(x^2+6x+7)^2+6(x^2+6x+7)+7=x$ is

Published on 21 May 2019 - 10:22

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Given three non-negative $a,b,c$ so that $c$ between $a$ and $b$. Prove that $2\sum\limits_{cyc}a^{3}+3abc\geqq3\sum\limits_{cyc}a^{2}b$ .

Published on 22 May 2019 - 12:22

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Differential equation substitution f(x/t)

Published on 24 May 2019 - 15:13

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Prove $a^2b(a-b)+ b^2c(b-c)+ c^2a(c-a)\geq 0$

Published on 25 Mar 2026 - 6:11

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Given three postive numbers $a,b,c$ so that $a\geqq b\geqq c$. Prove that $\sum\limits_{cyc}\frac{a+bW}{aW+b}\geqq 3$ .

Published on 25 Mar 2026 - 6:13

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Solve $x^2 - 3{\sqrt {3x+1} } = 1$

Published on 28 May 2019 - 13:23

108

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Difference in my and wolfram's integration.

Published on 29 May 2019 - 10:02

214

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Evaluate $ \int \frac{a^2\cos^2x+b^2\sin^2x}{a^4\cos^2x+b^4\sin^2x}\,dx$

Published on 29 May 2019 - 15:21

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Prove $\sum_{cyc} a(a-b)(a-2b) \ge 0$.Where $a,b,c \ge 0$

Published on 25 Mar 2026 - 6:12

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calculating the arc length of a function

Published on 25 Mar 2026 - 12:31

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What should I substitute in this Integral?

Published on 26 Mar 2026 - 1:02

List Question

Change of variables, why does integral disappear?

The integral of $5/\left(x^2+2\right)$

$U = \frac{h\omega}{e^{hw/KT}-1}\approx KT - \frac{h\omega}{2}+....O(\frac{h\omega}{KT})$

How to use half angle trigonometric substitution on x/cos(x)

real solution of equation $(x^2+6x+7)^2+6(x^2+6x+7)+7=x$ is

Given three non-negative $a,b,c$ so that $c$ between $a$ and $b$. Prove that $2\sum\limits_{cyc}a^{3}+3abc\geqq3\sum\limits_{cyc}a^{2}b$ .

Differential equation substitution f(x/t)

Prove $a^2b(a-b)+ b^2c(b-c)+ c^2a(c-a)\geq 0$

Given three postive numbers $a,b,c$ so that $a\geqq b\geqq c$. Prove that $\sum\limits_{cyc}\frac{a+bW}{aW+b}\geqq 3$ .

Solve $x^2 - 3{\sqrt {3x+1} } = 1$

Difference in my and wolfram's integration.

Evaluate $ \int \frac{a^2\cos^2x+b^2\sin^2x}{a^4\cos^2x+b^4\sin^2x}\,dx$

Prove $\sum_{cyc} a(a-b)(a-2b) \ge 0$.Where $a,b,c \ge 0$

calculating the arc length of a function

What should I substitute in this Integral?

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