Question

How to substitute into the general parametric equation?

score 36 · Answer 1 · 2018-08-25 14:00:23

36

Views

How to substitute into the general parametric equation?

Published on 25 Aug 2018 - 14:00

score 31 · Answer 2 · 2018-08-25 21:38:19

31

Views

substitution in $\mathbb R^n$ :$\int_{\varphi(U)} f=\int_U f(\psi)|\det J_\psi|$. Why if taking $U$ closed instead of open the formula still hold?

Published on 25 Aug 2018 - 21:38

score 558 · Answer 3 · 2018-08-25 21:55:54

558

Views

Quadratic inequality puzzle: Prove$ |cx^2 + bx + a| ≤ 2$ given $|ax^2+bx+c| ≤ 1$

Published on 25 Aug 2018 - 21:55

score 148 · Answer 4 · 2018-08-27 02:15:59

148

Views

How to calculate $\int_{0}^{\pi/2}\dfrac{1}{\sin^3 x + \cos^3 x}dx$

Published on 27 Aug 2018 - 2:15

score 81 · Answer 5 · 2018-09-07 20:33:06

81

Views

Evaluating $\int_0^2 \frac{x^2}{x^3 + 1} \,\mathrm{d}x$

Published on 07 Sep 2018 - 20:33

score 335 · Answer 6 · 2018-09-10 13:32:31

335

Views

How to prove this inequality involving the minimum of two chosen numbers

Published on 10 Sep 2018 - 13:32

score 131 · Answer 7 · 2018-09-10 16:28:23

131

Views

Solving Homogenous First Order ODE Using Substitution

Published on 10 Sep 2018 - 16:28

score 41 · Answer 8 · 2018-09-11 10:17:48

41

Views

System of 2nd order diff equations with $x_1(t), x_2(t)$

Published on 11 Sep 2018 - 10:17

score 127 · Answer 9 · 2026-03-25 01:40:04

127

Views

Show that $\sum_{\text{cyc}} \frac{1}{b^2+c^2+5bc-a^2} \leq \frac{\sqrt3}{8S}$ for a triangle with sides $a$, $b$, $c$ and area $S$

Published on 25 Mar 2026 - 1:40

score 2.1k · Answer 10 · 2018-09-21 06:52:05

2.1k

Views

Prove that if in a tetrahedron if two pairs of opposite edges are perpendicular then the third pair is also perpendicular.

Published on 21 Sep 2018 - 6:52

score 96 · Answer 11 · 2018-09-21 07:11:41

96

Views

Given triangle sides $a$, $b$, $c$, show $\sum_{\text{cyc}}\frac{a}{a+b}\geq\frac32\prod_{\text{cyc}}(\frac{a}{a+b}+\frac{b}{b+c})$

Published on 21 Sep 2018 - 7:11

score 68 · Answer 12 · 2018-09-22 07:34:41

68

Views

Substitution in $\int \cos^3(x)$

Published on 22 Sep 2018 - 7:34

score 103 · Answer 13 · 2018-09-25 02:15:29

103

Views

unknown square root substitution in integration

Published on 25 Sep 2018 - 2:15

score 105 · Answer 14 · 2018-09-25 14:08:46

105

Views

How to prove inequality $(a^2+b^2+c^2)^3\ge6(a^3+b^3+c^3)^2$ when $a+b+c=0$?

Published on 25 Sep 2018 - 14:08

score 72 · Answer 15 · 2018-09-25 18:54:54

72

Views

Non-linear second order ODE

Published on 25 Sep 2018 - 18:54

List Question

How to substitute into the general parametric equation?

substitution in $\mathbb R^n$ :$\int_{\varphi(U)} f=\int_U f(\psi)|\det J_\psi|$. Why if taking $U$ closed instead of open the formula still hold?

Quadratic inequality puzzle: Prove$ |cx^2 + bx + a| ≤ 2$ given $|ax^2+bx+c| ≤ 1$

How to calculate $\int_{0}^{\pi/2}\dfrac{1}{\sin^3 x + \cos^3 x}dx$

Evaluating $\int_0^2 \frac{x^2}{x^3 + 1} \,\mathrm{d}x$

How to prove this inequality involving the minimum of two chosen numbers

Solving Homogenous First Order ODE Using Substitution

System of 2nd order diff equations with $x_1(t), x_2(t)$

Show that $\sum_{\text{cyc}} \frac{1}{b^2+c^2+5bc-a^2} \leq \frac{\sqrt3}{8S}$ for a triangle with sides $a$, $b$, $c$ and area $S$

Prove that if in a tetrahedron if two pairs of opposite edges are perpendicular then the third pair is also perpendicular.

Given triangle sides $a$, $b$, $c$, show $\sum_{\text{cyc}}\frac{a}{a+b}\geq\frac32\prod_{\text{cyc}}(\frac{a}{a+b}+\frac{b}{b+c})$

Substitution in $\int \cos^3(x)$

unknown square root substitution in integration

How to prove inequality $(a^2+b^2+c^2)^3\ge6(a^3+b^3+c^3)^2$ when $a+b+c=0$?

Non-linear second order ODE

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