Question

Why does $\int\limits_0^\infty {\ln(x) \over x}\ dx$ diverge?

score 96 · Answer 1 · 2026-05-11 03:14:17

96

Views

Why does $\int\limits_0^\infty {\ln(x) \over x}\ dx$ diverge?

Published on 11 May 2026 - 3:14

score 95 · Answer 2 · 2026-04-19 21:24:58

95

Views

Example of continuous non differentiable function

Published on 19 Apr 2026 - 21:24

score 139 · Answer 3 · 2026-04-13 01:19:39

139

Views

Is there a name or known properties of function sets closed under derivatives?

Published on 13 Apr 2026 - 1:19

score 205 · Answer 4 · 2026-04-22 16:08:48

205

Views

Why is this limit equal to 6?

Published on 22 Apr 2026 - 16:08

score 296 · Answer 5 · 2026-04-16 22:42:39

296

Views

Prove that $\frac{1}{2\pi}\int_0^{2\pi}{|f(re^{i\theta})|^2}d\theta=\sum_{n=0}^{\infty}{|a_n|^2r^{2n}}$

Published on 16 Apr 2026 - 22:42

score 33 · Answer 6 · 2026-04-15 02:38:11

33

Views

Condition for a restricted ball to be inside an ellipse

Published on 15 Apr 2026 - 2:38

score 55 · Answer 7 · 2026-04-15 20:20:05

55

Views

Basic strain derivation, cannot work this out (result answer is incorrect magnitude)

Published on 15 Apr 2026 - 20:20

score 44 · Answer 8 · 2026-05-11 08:41:57

44

Views

$\int_0^1 \log f(t)dt \le \int_0^1 \log g(t)dt$ implies $\int_0^1 \log (f(t)+1)dt \le \int_0^1 \log (g(t)+1)dt$?

Published on 11 May 2026 - 8:41

score 109 · Answer 9 · 2026-04-15 03:46:18

109

Views

Min and Max of $f(x) = 2 \sin(x) + \cos^2 (x)$ on $[0, 2\pi]$

Published on 15 Apr 2026 - 3:46

score 145 · Answer 10 · 2026-04-24 11:25:02

145

Views

What does the interval of convergence mean for this power series?

Published on 24 Apr 2026 - 11:25

score 83 · Answer 11 · 2026-05-04 12:23:58

83

Views

What allows us to perform derivatives on for example real numbers

Published on 04 May 2026 - 12:23

score 88 · Answer 12 · 2026-05-10 12:17:51

88

Views

$\int_0^s \log f(t)dt \le \int_0^s \log g(t)dt$ for every $s\in (0,1)$ implies that $\int_0^1 \log (f(t)+1)dt \le \int_0^1 \log (g(t)+1)dt$?

Published on 10 May 2026 - 12:17

score 897 · Answer 13 · 2026-04-19 21:42:26

897

Views

How to tackle $\lim_{x \to 0} \frac{\sin x -\arctan x}{x^2\log(1+x)}$

Published on 19 Apr 2026 - 21:42

score 490 · Answer 14 · 2026-04-16 05:25:51

490

Views

Spivak's Calculus: Ch. 1, Problem 14 (absolute value inequality)

Published on 16 Apr 2026 - 5:25

score 2.4k · Answer 15 · 2026-04-16 12:24:17

2.4k

Views

What is the derivative of the sum of a vector with respect to the vector?

Published on 16 Apr 2026 - 12:24

List Question

Why does $\int\limits_0^\infty {\ln(x) \over x}\ dx$ diverge?

Example of continuous non differentiable function

Is there a name or known properties of function sets closed under derivatives?

Why is this limit equal to 6?

Prove that $\frac{1}{2\pi}\int_0^{2\pi}{|f(re^{i\theta})|^2}d\theta=\sum_{n=0}^{\infty}{|a_n|^2r^{2n}}$

Condition for a restricted ball to be inside an ellipse

Basic strain derivation, cannot work this out (result answer is incorrect magnitude)

$\int_0^1 \log f(t)dt \le \int_0^1 \log g(t)dt$ implies $\int_0^1 \log (f(t)+1)dt \le \int_0^1 \log (g(t)+1)dt$?

Min and Max of $f(x) = 2 \sin(x) + \cos^2 (x)$ on $[0, 2\pi]$

What does the interval of convergence mean for this power series?

What allows us to perform derivatives on for example real numbers

$\int_0^s \log f(t)dt \le \int_0^s \log g(t)dt$ for every $s\in (0,1)$ implies that $\int_0^1 \log (f(t)+1)dt \le \int_0^1 \log (g(t)+1)dt$?

How to tackle $\lim_{x \to 0} \frac{\sin x -\arctan x}{x^2\log(1+x)}$

Spivak's Calculus: Ch. 1, Problem 14 (absolute value inequality)

What is the derivative of the sum of a vector with respect to the vector?

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