List questions from substitution

Published on 25 Mar 2026 - 15:57

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Let $a, b, c \in \mathbb{R^+}$ and $abc=8$ Prove that $\frac {ab+4}{a+2} + \frac {bc+4}{b+2} + \frac {ca+4}{c+2} \ge 6$

Published on 20 Oct 2018 - 7:44

40

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How to use algebra to solve this?

Published on 22 Oct 2018 - 23:17

178

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Find the integral of the following function.

Published on 23 Oct 2018 - 3:10

206

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Solve $\int_0^{\infty} x^2 \frac{x}{\theta}e^{\frac{x^2}{2\theta}} dx $

Published on 23 Oct 2018 - 8:52

59

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Integration question (don't know what to substitute).

Published on 24 Oct 2018 - 13:33

100

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Prove $\int f(x)f'(x)\,dx = \frac {[f(x)]^2}2 + c$ through substitution

Published on 24 Oct 2018 - 21:35

139

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Olympiad Inequality with Condition

Published on 26 Oct 2018 - 12:13

239

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Functional equation - Cyclic Substitutions

Published on 29 Oct 2018 - 9:15

208

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Verification by direct substitution using matrices of ODE

Published on 29 Oct 2018 - 14:13

29

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Renaming integration variable in Fourier transformation

Published on 31 Oct 2018 - 15:24

130

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How Isolate y from $a=\sqrt{(y^2+(a+x)^2)^3}$

Published on 01 Nov 2018 - 10:49

381

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$\int\sqrt{1-\tan x}~\mathrm{d}{x}.$ (Integral of a trigonometric function under square root)

Published on 02 Nov 2018 - 4:43

27

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How to express this simple equation in terms of a different variable?

Published on 02 Nov 2018 - 10:04

71

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How isolate y from $a=\sqrt{(y^2+x^2)^3} + \sqrt{(y^2-x^2)^3}$

Published on 02 Nov 2018 - 11:02

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Find maximum value

Let $a, b, c \in \mathbb{R^+}$ and $abc=8$ Prove that $\frac {ab+4}{a+2} + \frac {bc+4}{b+2} + \frac {ca+4}{c+2} \ge 6$

How to use algebra to solve this?

Find the integral of the following function.

Solve $\int_0^{\infty} x^2 \frac{x}{\theta}e^{\frac{x^2}{2\theta}} dx $

Integration question (don't know what to substitute).

Prove $\int f(x)f'(x)\,dx = \frac {[f(x)]^2}2 + c$ through substitution

Olympiad Inequality with Condition

Functional equation - Cyclic Substitutions

Verification by direct substitution using matrices of ODE

Renaming integration variable in Fourier transformation

How Isolate y from $a=\sqrt{(y^2+(a+x)^2)^3}$

$\int\sqrt{1-\tan x}~\mathrm{d}{x}.$ (Integral of a trigonometric function under square root)

How to express this simple equation in terms of a different variable?

How isolate y from $a=\sqrt{(y^2+x^2)^3} + \sqrt{(y^2-x^2)^3}$

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