Question

Non-Numerical proof of $e<\pi$

score 750 · Answer 1 · 2026-05-14 18:33:19

750

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Non-Numerical proof of $e<\pi$

Published on 14 May 2026 - 18:33

score 95 · Answer 2 · 2026-04-14 08:53:00

95

Views

Extrema of $(\tan{x})^{\sin{2x}}$ on $(0,\frac{\pi}{2})$ interval

Published on 14 Apr 2026 - 8:53

score 123 · Answer 3 · 2026-05-10 15:47:58

123

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Closed form for $\frac{\int_0^1 Ei(x)^5 \ln(x) dx}{\int_0^1 Ei(x)^3\ln(x) dx}$?

Published on 10 May 2026 - 15:47

score 165 · Answer 4 · 2026-05-10 14:48:50

165

Views

Use squeeze theorem to integrate over a measurable set $A \subset [-\pi, \pi]$?

Published on 10 May 2026 - 14:48

score 43 · Answer 5 · 2026-04-17 07:45:30

43

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Prove that there exist always c s.t. $x(t)(y(t)+1)\leq c x(t)y(t)$ or give a counter example..

Published on 17 Apr 2026 - 7:45

score 92 · Answer 6 · 2026-05-10 14:07:07

92

Views

Getting the volume of a sphere from an infinite product

Published on 10 May 2026 - 14:07

score 107 · Answer 7 · 2026-05-10 20:03:55

107

Views

Find $\frac{du}{dv}$ if $u=\sin^{-1}\frac{2x}{1+x^2}$ and $v=\tan^{-1}\frac{2x}{1-x^2}$

Published on 10 May 2026 - 20:03

score 1.2k · Answer 8 · 2026-05-14 16:08:25

1.2k

Views

A polynomial $p(x)$ with real coefficients is of degree five. Find $p(x)$ in factorised form with real coefficients.

Published on 14 May 2026 - 16:08

score 320 · Answer 9 · 2026-04-25 15:49:56

320

Views

Prove $\sum\limits_{n=2}^\infty \frac {1} {n\ln(n)\sqrt{\ln^3{n}}}$ is divergent.

Published on 25 Apr 2026 - 15:49

score 538 · Answer 10 · 2026-04-28 18:52:29

538

Views

A problem to be solved using integration by parts.

Published on 28 Apr 2026 - 18:52

score 894 · Answer 11 · 2026-05-10 20:40:42

894

Views

Finding the values of a and b in the function $f(x) = x^2 + ax + b$

Published on 10 May 2026 - 20:40

score 166 · Answer 12 · 2026-05-11 04:12:25

166

Views

Area of a Sinus Curve using Pythagoras trigonometry

Published on 11 May 2026 - 4:12

score 71 · Answer 13 · 2026-05-10 18:06:38

71

Views

$\frac{dx}{dt} = \sin(x) +\tan(x) + x^2.$ How do I get $x$ as a function of $t$?

Published on 10 May 2026 - 18:06

score 81 · Answer 14 · 2026-05-03 17:41:12

81

Views

$\;{u|}_{\partial \Omega} =0\;$ implies $\; \frac{\partial u}{\partial τ}=0\;$

Published on 03 May 2026 - 17:41

score 70 · Answer 15 · 2026-04-14 15:20:38

70

Views

Is derivative function a discontinued function as the limit says as h tends to 0 and nothing can be divided by 0?

Published on 14 Apr 2026 - 15:20

List Question

Non-Numerical proof of $e<\pi$

Extrema of $(\tan{x})^{\sin{2x}}$ on $(0,\frac{\pi}{2})$ interval

Closed form for $\frac{\int_0^1 Ei(x)^5 \ln(x) dx}{\int_0^1 Ei(x)^3\ln(x) dx}$?

Use squeeze theorem to integrate over a measurable set $A \subset [-\pi, \pi]$?

Prove that there exist always c s.t. $x(t)(y(t)+1)\leq c x(t)y(t)$ or give a counter example..

Getting the volume of a sphere from an infinite product

Find $\frac{du}{dv}$ if $u=\sin^{-1}\frac{2x}{1+x^2}$ and $v=\tan^{-1}\frac{2x}{1-x^2}$

A polynomial $p(x)$ with real coefficients is of degree five. Find $p(x)$ in factorised form with real coefficients.

Prove $\sum\limits_{n=2}^\infty \frac {1} {n\ln(n)\sqrt{\ln^3{n}}}$ is divergent.

A problem to be solved using integration by parts.

Finding the values of a and b in the function $f(x) = x^2 + ax + b$

Area of a Sinus Curve using Pythagoras trigonometry

$\frac{dx}{dt} = \sin(x) +\tan(x) + x^2.$ How do I get $x$ as a function of $t$?

$\;{u|}_{\partial \Omega} =0\;$ implies $\; \frac{\partial u}{\partial τ}=0\;$

Is derivative function a discontinued function as the limit says as h tends to 0 and nothing can be divided by 0?

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