List questions from substitution

Published on 18 Oct 2020 - 17:44

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Is it possible to turn this 'proof' of the product rule into a rigorous argument?

Published on 20 Oct 2020 - 21:30

156

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How to integrate $\sqrt\frac{\arctan(x)}{(1+x^2)}$

Published on 29 Oct 2020 - 13:46

108

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How to manipulate the following integral into a power series?

Published on 30 Mar 2026 - 3:37

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How to integrate a function with an unknown constant

Published on 01 Nov 2020 - 23:38

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Is it normal that u-substitution leaves behind a constant besides C?

Published on 02 Nov 2020 - 15:05

38

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Multiple Integral, substitution

Published on 01 Apr 2026 - 11:24

794

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Understanding Integration by Substitution 'Scale factor'

Published on 29 Mar 2026 - 11:07

29

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Why does u-substitution contain derivative of g(x)

Published on 05 Nov 2020 - 20:27

66

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Solve in $\mathbb{R}$ the equation $3x+\sqrt[3]{x+1}+\sqrt[3]{(x+1)^2}=-1$

Published on 07 Nov 2020 - 14:13

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Definite integral of exponential of trig function

Published on 29 Mar 2026 - 4:34

84

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Logarithm inequality including square root:minimum of $\sqrt{\log_2^2a+1}+\sqrt{\log_2^2b+1}+\sqrt{\log_2^2c+1}$

Published on 10 Nov 2020 - 7:27

864

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Gradient with a change of variables?

Published on 12 Nov 2020 - 0:44

242

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$\int_{-1}^1{x^4}dx$ by substitution

Published on 12 Nov 2020 - 11:58

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For $a,b>0$ and $c\ge0$ prove that $\frac{2(a+b)}{3a+6b+9c}+\frac{6(b+c)}{5a+2b+3c}+\frac{3(a+c)}{2a+8b+6c}\ge\frac{3}{2}$

Published on 01 Apr 2026 - 6:32

List Question

L'Hospital rule to find limit on indeterminate form.

Is it possible to turn this 'proof' of the product rule into a rigorous argument?

How to integrate $\sqrt\frac{\arctan(x)}{(1+x^2)}$

How to manipulate the following integral into a power series?

How to integrate a function with an unknown constant

Is it normal that u-substitution leaves behind a constant besides C?

Multiple Integral, substitution

Understanding Integration by Substitution 'Scale factor'

Why does u-substitution contain derivative of g(x)

Solve in $\mathbb{R}$ the equation $3x+\sqrt[3]{x+1}+\sqrt[3]{(x+1)^2}=-1$

Definite integral of exponential of trig function

Logarithm inequality including square root:minimum of $\sqrt{\log_2^2a+1}+\sqrt{\log_2^2b+1}+\sqrt{\log_2^2c+1}$

Gradient with a change of variables?

$\int_{-1}^1{x^4}dx$ by substitution

For $a,b>0$ and $c\ge0$ prove that $\frac{2(a+b)}{3a+6b+9c}+\frac{6(b+c)}{5a+2b+3c}+\frac{3(a+c)}{2a+8b+6c}\ge\frac{3}{2}$

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