List questions from substitution

Published on 10 May 2026 - 13:45

271

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A tricky algebraic inequality

Published on 10 May 2026 - 13:22

109

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Does $\int{f(x)\cdot f'(x)}dx=\frac{f^2(x)}{2}+c$ work?

Published on 11 May 2026 - 8:38

2.2k

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How do I know when to use u-substitution in a integral like this: $\int {x^2\over x^3+2}dx$?

Published on 15 Apr 2026 - 14:25

107

Views

An inequality with a condition

Published on 10 May 2026 - 14:17

132

Views

Triangles geometric inequalities

Published on 10 May 2026 - 14:57

271

Views

Use of substitution into the integral $\int_0^2 \frac{\arctan x}{x^2+2x+2}dx$

Published on 16 Apr 2026 - 4:45

85

Views

PDE $au_{xx} +2bu_{xy}+cu_{yy}$ into canonical form

Published on 23 Apr 2026 - 21:16

66

Views

Why does the indefinite integral $\int \sin(x) \sec^2(x) dx$ give different answers for different substitutions?

Published on 14 Apr 2026 - 18:43

258

Views

Substitution in complex integration

Published on 10 Apr 2026 - 3:59

450

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Given three non-negative numbers $x,y,z$ so that $x+y+z=3$. Prove that $3\leqq \sum\limits_{cyc}x\sqrt{1+ y^{3}}\leqq 5$ .

Published on 10 May 2026 - 13:28

28

Views

Is it wrong to use sub substitution for evaluating integrals?

Published on 11 Apr 2026 - 23:14

787

Views

Recurrence Substitution Method of $T(n)=T(n/2)+T(n/3)+n$

Published on 17 Apr 2026 - 2:51

676

Views

Why doesn't integration by substitution work in this case?

Published on 16 Apr 2026 - 11:20

116

Views

Find the minimizer of $A=12a+13b+11c$

Published on 10 May 2026 - 20:53

List Question

Indefinite Integral procedure

A tricky algebraic inequality

Does $\int{f(x)\cdot f'(x)}dx=\frac{f^2(x)}{2}+c$ work?

How do I know when to use u-substitution in a integral like this: $\int {x^2\over x^3+2}dx$?

An inequality with a condition

Triangles geometric inequalities

Use of substitution into the integral $\int_0^2 \frac{\arctan x}{x^2+2x+2}dx$

PDE $au_{xx} +2bu_{xy}+cu_{yy}$ into canonical form

Why does the indefinite integral $\int \sin(x) \sec^2(x) dx$ give different answers for different substitutions?

Substitution in complex integration

Given three non-negative numbers $x,y,z$ so that $x+y+z=3$. Prove that $3\leqq \sum\limits_{cyc}x\sqrt{1+ y^{3}}\leqq 5$ .

Is it wrong to use sub substitution for evaluating integrals?

Recurrence Substitution Method of $T(n)=T(n/2)+T(n/3)+n$

Why doesn't integration by substitution work in this case?

Find the minimizer of $A=12a+13b+11c$

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