Question

A good combination of an Olympiad inequality and its solution

score 409 · Answer 1 · 2026-02-23 20:42:03

409

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A good combination of an Olympiad inequality and its solution

Published on 23 Feb 2026 - 20:42

score 456 · Answer 2 · 2021-03-05 12:03:23

456

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what is the difference between du/dx and dx/du in u-substitution how do you know which one to use?

Published on 05 Mar 2021 - 12:03

score 55 · Answer 3 · 2021-03-07 13:42:08

55

Views

Are trigonometric functions with already substituted arguments (integral) treated with the chain rule, when derivating?

Published on 07 Mar 2021 - 13:42

score 53 · Answer 4 · 2021-03-07 16:18:35

53

Views

Why aren't these two integrals equivalent when using the substitution $x=\frac{1}{t}$?

Published on 07 Mar 2021 - 16:18

score 255 · Answer 5 · 2026-04-03 08:18:34

255

Views

Understanding an instance of Integration by Substitution w/the Dirac Delta Function

Published on 03 Apr 2026 - 8:18

score 70 · Answer 6 · 2021-03-15 02:47:58

70

Views

Directivity Integral of the form [sin(sin(x))/sin(x)]^2

Published on 15 Mar 2021 - 2:47

score 287 · Answer 7 · 2021-03-16 04:52:43

287

Views

Prove that among any five distinct real numbers there are two, $a$ and $b$, such that $|ab+1|\gt|a-b|$. Solution without trigonometry?

Published on 16 Mar 2021 - 4:52

score 270 · Answer 8 · 2021-03-21 12:22:45

270

Views

Solutions of the functional equation $f(x+1)= xf(x)$

Published on 21 Mar 2021 - 12:22

score 600 · Answer 9 · 2021-03-22 15:11:58

600

Views

Solving linear differential equation with variable coefficients.

Published on 22 Mar 2021 - 15:11

score 41 · Answer 10 · 2026-03-29 22:29:54

41

Views

Use of change of variables in one dimension (u-sub), and its relation to the definition of a differential.

Published on 29 Mar 2026 - 22:29

score 255 · Answer 11 · 2021-03-23 09:08:00

255

Views

Weierstrass substitution on an algebraic expression

Published on 23 Mar 2021 - 9:08

score 87 · Answer 12 · 2021-03-23 14:32:26

87

Views

Why can't I substitute $u=ie^{-it}$ on integral $\int_{-\frac{\pi}{2}}^\frac{\pi}{2} (e^{-2it}+1)^x\ln(e^{2it}+1)dt$?

Published on 23 Mar 2021 - 14:32

score 51 · Answer 13 · 2021-03-28 09:58:45

51

Views

Line integral polar coordinates

Published on 28 Mar 2021 - 9:58

score 99 · Answer 14 · 2021-03-29 09:23:54

99

Views

Solve definite integral by substitution

Published on 29 Mar 2021 - 9:23

score 628 · Answer 15 · 2021-03-29 13:33:40

628

Views

Integrate $\int x^4\sqrt{x^2-3} \, dx$

Published on 29 Mar 2021 - 13:33

List Question

A good combination of an Olympiad inequality and its solution

what is the difference between du/dx and dx/du in u-substitution how do you know which one to use?

Are trigonometric functions with already substituted arguments (integral) treated with the chain rule, when derivating?

Why aren't these two integrals equivalent when using the substitution $x=\frac{1}{t}$?

Understanding an instance of Integration by Substitution w/the Dirac Delta Function

Directivity Integral of the form [sin(sin(x))/sin(x)]^2

Prove that among any five distinct real numbers there are two, $a$ and $b$, such that $|ab+1|\gt|a-b|$. Solution without trigonometry?

Solutions of the functional equation $f(x+1)= xf(x)$

Solving linear differential equation with variable coefficients.

Use of change of variables in one dimension (u-sub), and its relation to the definition of a differential.

Weierstrass substitution on an algebraic expression

Why can't I substitute $u=ie^{-it}$ on integral $\int_{-\frac{\pi}{2}}^\frac{\pi}{2} (e^{-2it}+1)^x\ln(e^{2it}+1)dt$?

Line integral polar coordinates

Solve definite integral by substitution

Integrate $\int x^4\sqrt{x^2-3} \, dx$

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