Question

Compute $\int_3^6 \frac{\sqrt{3}}{x^2 - 6x +12} \,dx$

score 1.9k · Answer 1 · 2026-04-10 02:54:50

1.9k

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Compute $\int_3^6 \frac{\sqrt{3}}{x^2 - 6x +12} \,dx$

Published on 10 Apr 2026 - 2:54

score 128 · Answer 2 · 2026-04-09 11:03:10

128

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Proving that $b-a\ge \pi $

Published on 09 Apr 2026 - 11:03

score 215 · Answer 3 · 2026-04-09 04:33:29

215

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i dont know how to solve sum of series $n \cdot \frac{1}{2^n}$

Published on 09 Apr 2026 - 4:33

score 63 · Answer 4 · 2026-03-24 19:08:55

63

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If $a_{n+1}-\frac{a_n}{2} \to 0$ then $a_n \to 0$

Published on 24 Mar 2026 - 19:08

score 264 · Answer 5 · 2026-04-09 02:00:49

264

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Evaluate $\lim\limits_{n\to\infty} \frac{3+\sqrt{3}+\sqrt[3]{3}+\dots+\sqrt[n]{3}-n}{\ln n}$

Published on 09 Apr 2026 - 2:00

score 296 · Answer 6 · 2026-04-08 22:36:26

296

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Proving $\int_0^1\frac{dx}{[ax+b(1-x)]^2}=\frac1{ab}$

Published on 08 Apr 2026 - 22:36

score 45 · Answer 7 · 2026-04-02 02:40:53

45

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Help understanding a solution for a Calculus problem involving Trigonometry

Published on 02 Apr 2026 - 2:40

score 171 · Answer 8 · 2026-04-09 10:59:58

171

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Function determining temperature of points along a curve (find local maxima temp & local minima temp)

Published on 09 Apr 2026 - 10:59

score 92 · Answer 9 · 2018-01-15 17:24:14

92

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Show that $\int_{0}^{+\infty}e^{-\sqrt[n]{v}}\text{d}v=n!$.

Published on 15 Jan 2018 - 17:24

score 98 · Answer 10 · 2026-04-08 23:09:41

98

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identity for finding value of $\pi$

Published on 08 Apr 2026 - 23:09

score 71 · Answer 11 · 2026-04-10 06:30:15

71

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General solution – linear differential equation

Published on 10 Apr 2026 - 6:30

score 103 · Answer 12 · 2026-04-08 23:10:39

103

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If $A\subseteq(0,+\infty)$ is nonempty and closed under addition then it is not bounded above.

Published on 08 Apr 2026 - 23:10

score 183 · Answer 13 · 2026-04-10 02:54:50

183

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Prove that $f(x)= \begin{cases} \frac{x+1}{e^{2x}+1}, & x≠0 \\ 1/2, & x=0 \end{cases}$ is continuous and differentiable.

Published on 10 Apr 2026 - 2:54

score 1.3k · Answer 14 · 2026-04-09 20:16:40

1.3k

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Solving integral with Leibniz' rule

Published on 09 Apr 2026 - 20:16

score 280 · Answer 15 · 2018-01-15 20:20:55

280

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Why the approximate solution of $\frac{1}{{\sqrt {2\pi } }}\frac{n}{x}{e^{ - \frac{{{x^2}}}{2}}} = c$ is $\sqrt {2\log n} $ when $n$ is large

Published on 15 Jan 2018 - 20:20

List Question

Compute $\int_3^6 \frac{\sqrt{3}}{x^2 - 6x +12} \,dx$

Proving that $b-a\ge \pi $

i dont know how to solve sum of series $n \cdot \frac{1}{2^n}$

If $a_{n+1}-\frac{a_n}{2} \to 0$ then $a_n \to 0$

Evaluate $\lim\limits_{n\to\infty} \frac{3+\sqrt{3}+\sqrt[3]{3}+\dots+\sqrt[n]{3}-n}{\ln n}$

Proving $\int_0^1\frac{dx}{[ax+b(1-x)]^2}=\frac1{ab}$

Help understanding a solution for a Calculus problem involving Trigonometry

Function determining temperature of points along a curve (find local maxima temp & local minima temp)

Show that $\int_{0}^{+\infty}e^{-\sqrt[n]{v}}\text{d}v=n!$.

identity for finding value of $\pi$

General solution – linear differential equation

If $A\subseteq(0,+\infty)$ is nonempty and closed under addition then it is not bounded above.

Prove that $f(x)= \begin{cases} \frac{x+1}{e^{2x}+1}, & x≠0 \\ 1/2, & x=0 \end{cases}$ is continuous and differentiable.

Solving integral with Leibniz' rule

Why the approximate solution of $\frac{1}{{\sqrt {2\pi } }}\frac{n}{x}{e^{ - \frac{{{x^2}}}{2}}} = c$ is $\sqrt {2\log n} $ when $n$ is large

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