Question

Let $A, B$ and $C$ be the angles of an acute triangle. Show that: $\sin A+\sin B +\sin C > 2$.

score 241 · Answer 1 · 2026-03-25 01:38:30

241

Views

Let $A, B$ and $C$ be the angles of an acute triangle. Show that: $\sin A+\sin B +\sin C > 2$.

Published on 25 Mar 2026 - 1:38

score 104 · Answer 2 · 2019-06-06 04:24:15

104

Views

Another way to calculate the integral $ \int_{0}^{1} (x-x^{2})^{3/2} dx $

Published on 06 Jun 2019 - 4:24

score 28 · Answer 3 · 2019-06-06 16:14:14

28

Views

Symplfying a radical

Published on 06 Jun 2019 - 16:14

score 42 · Answer 4 · 2019-06-07 02:52:25

42

Views

Problem following math text

Published on 07 Jun 2019 - 2:52

score 158 · Answer 5 · 2026-03-26 02:56:21

158

Views

$\frac{xy}{z^2(x + y)} + \frac{yz}{x^2(y + z)} + \frac{zx}{y^2(z + x)} \ge xy + yz + zx$ given that where $x, y, z > 0$ and $xyz = \frac{1}{2}$.

Published on 26 Mar 2026 - 2:56

score 170 · Answer 6 · 2026-03-25 07:47:38

170

Views

Nice olympiad inequality

Published on 25 Mar 2026 - 7:47

score 67 · Answer 7 · 2019-06-08 19:08:21

67

Views

Have a question about integration done by substitution $\frac{\sqrt{x^2-1}}{x}$

Published on 08 Jun 2019 - 19:08

score 57 · Answer 8 · 2026-03-26 00:58:20

57

Views

Solving recurrence relation ,which formula to apply

Published on 26 Mar 2026 - 0:58

score 252 · Answer 9 · 2026-03-25 18:49:48

252

Views

Finding solutions to a system of equations using elementary symmetric polynomials

Published on 25 Mar 2026 - 18:49

score 58 · Answer 10 · 2019-06-10 17:49:03

58

Views

Tough substitution inequality

Published on 10 Jun 2019 - 17:49

score 126 · Answer 11 · 2019-06-11 05:58:20

126

Views

Calculate the maximum value of $\sqrt{\frac{3yz}{3yz + x}} + \sqrt{\frac{3zx}{3zx + 4y}} + \sqrt{\frac{xy}{xy + 3z}}$ where $x + 2y + 3z = 2$

Published on 11 Jun 2019 - 5:58

score 172 · Answer 12 · 2019-06-11 07:04:59

172

Views

How is Wolfram Alpha and the reduction formula arriving at a different result for the integral of $\int \sec^4 x\,dx$ than naive $u$-substitution?

Published on 11 Jun 2019 - 7:04

score 84 · Answer 13 · 2019-06-11 08:57:55

84

Views

Solve the equation over reals: $\sqrt{5x^2 + 27x + 25} - 5\sqrt{x + 1} = \sqrt{x^2 - 4}$.

Published on 11 Jun 2019 - 8:57

score 59 · Answer 14 · 2019-06-11 13:34:13

59

Views

Applying substitution to multiple integral

Published on 11 Jun 2019 - 13:34

score 82 · Answer 15 · 2019-06-12 07:10:29

82

Views

Solve the inequality $ 2x^{2} + x - 4 \sqrt{2x^{2} + x + 4} < 1 $

Published on 12 Jun 2019 - 7:10

List Question

Let $A, B$ and $C$ be the angles of an acute triangle. Show that: $\sin A+\sin B +\sin C > 2$.

Another way to calculate the integral $ \int_{0}^{1} (x-x^{2})^{3/2} dx $

Symplfying a radical

Problem following math text

$\frac{xy}{z^2(x + y)} + \frac{yz}{x^2(y + z)} + \frac{zx}{y^2(z + x)} \ge xy + yz + zx$ given that where $x, y, z > 0$ and $xyz = \frac{1}{2}$.

Nice olympiad inequality

Have a question about integration done by substitution $\frac{\sqrt{x^2-1}}{x}$

Solving recurrence relation ,which formula to apply

Finding solutions to a system of equations using elementary symmetric polynomials

Tough substitution inequality

Calculate the maximum value of $\sqrt{\frac{3yz}{3yz + x}} + \sqrt{\frac{3zx}{3zx + 4y}} + \sqrt{\frac{xy}{xy + 3z}}$ where $x + 2y + 3z = 2$

How is Wolfram Alpha and the reduction formula arriving at a different result for the integral of $\int \sec^4 x\,dx$ than naive $u$-substitution?

Solve the equation over reals: $\sqrt{5x^2 + 27x + 25} - 5\sqrt{x + 1} = \sqrt{x^2 - 4}$.

Applying substitution to multiple integral

Solve the inequality $ 2x^{2} + x - 4 \sqrt{2x^{2} + x + 4} < 1 $

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