Question

The area of thin ring of shell of a sphere

score 2.2k · Answer 1 · 2026-04-24 00:47:42

2.2k

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The area of thin ring of shell of a sphere

Published on 24 Apr 2026 - 0:47

score 42 · Answer 2 · 2026-04-20 13:55:46

42

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Find the stationary points - algebra

Published on 20 Apr 2026 - 13:55

score 172 · Answer 3 · 2026-04-13 15:53:53

172

Views

asymptotic of a geometric like series

Published on 13 Apr 2026 - 15:53

score 125 · Answer 4 · 2026-04-28 09:41:36

125

Views

Why does the basic intuition fail here? What is the reason behind it?

Published on 28 Apr 2026 - 9:41

score 78 · Answer 5 · 2026-04-28 09:48:03

78

Views

We know $\int x^2\,\mathrm dx = \frac13 x^3+C$, so why isn't $\int \sin^2x\,\mathrm dx =\frac13\sin^3x + C$?

Published on 28 Apr 2026 - 9:48

score 44 · Answer 6 · 2026-04-13 19:33:37

44

Views

Linear trasformation Proof

Published on 13 Apr 2026 - 19:33

score 128 · Answer 7 · 2026-05-11 05:28:41

128

Views

Evaluating $\lim\limits_{x\to\infty}{x\int_0^{\pi/4}{\ln(1+\tan^xt)dt}}$

Published on 11 May 2026 - 5:28

score 102 · Answer 8 · 2026-04-15 00:23:24

102

Views

How to solve the following mixed exponential inequality: $3^x + x < 4$? (from Spivak's Calculus)

Published on 15 Apr 2026 - 0:23

score 240 · Answer 9 · 2026-04-17 22:15:50

240

Views

Integrating a product of two functions and the heaviside function

Published on 17 Apr 2026 - 22:15

score 53 · Answer 10 · 2026-05-11 04:23:50

53

Views

Using FTC, find $F'(x)$ where $F$ is defined on $[0,\infty)$ by $F(x)=\int_x^{e^x}\sqrt{1+t^2}dt.$

Published on 11 May 2026 - 4:23

score 410 · Answer 11 · 2026-05-10 19:40:37

410

Views

Let $f$ be a function with the IVP and for a fix $y$ let $M$ be $\{x\in\mathbb R\mid f(x)=y\}$. If $M$ is non-empty and bounded, then $\sup M\in M$.

Published on 10 May 2026 - 19:40

score 229 · Answer 12 · 2026-05-11 06:34:37

229

Views

A function with $\lim_{x \to \pm \infty} f(f(x))=\pm \infty$

Published on 11 May 2026 - 6:34

score 509 · Answer 13 · 2026-04-08 20:17:50

509

Views

Using a positive constant C in proving a limit

Published on 08 Apr 2026 - 20:17

score 940 · Answer 14 · 2026-04-14 01:43:02

940

Views

Is there a continuous and differential function which have an unbounded derivative on a bounded point?

Published on 14 Apr 2026 - 1:43

score 273 · Answer 15 · 2026-04-16 05:26:42

273

Views

A set of stationary points of the function consists of isolated points only.

Published on 16 Apr 2026 - 5:26

List Question

The area of thin ring of shell of a sphere

Find the stationary points - algebra

asymptotic of a geometric like series

Why does the basic intuition fail here? What is the reason behind it?

We know $\int x^2\,\mathrm dx = \frac13 x^3+C$, so why isn't $\int \sin^2x\,\mathrm dx =\frac13\sin^3x + C$?

Linear trasformation Proof

Evaluating $\lim\limits_{x\to\infty}{x\int_0^{\pi/4}{\ln(1+\tan^xt)dt}}$

How to solve the following mixed exponential inequality: $3^x + x < 4$? (from Spivak's Calculus)

Integrating a product of two functions and the heaviside function

Using FTC, find $F'(x)$ where $F$ is defined on $[0,\infty)$ by $F(x)=\int_x^{e^x}\sqrt{1+t^2}dt.$

Let $f$ be a function with the IVP and for a fix $y$ let $M$ be $\{x\in\mathbb R\mid f(x)=y\}$. If $M$ is non-empty and bounded, then $\sup M\in M$.

A function with $\lim_{x \to \pm \infty} f(f(x))=\pm \infty$

Using a positive constant C in proving a limit

Is there a continuous and differential function which have an unbounded derivative on a bounded point?

A set of stationary points of the function consists of isolated points only.

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