Question

Evaluate $\int_{1}^{2} \ \frac{\arctan (x)}{\arctan \left (\frac{1}{x^2-3x+3} \right )} dx$

score 298 · Answer 1 · 2026-03-24 19:08:56

298

Views

Evaluate $\int_{1}^{2} \ \frac{\arctan (x)}{\arctan \left (\frac{1}{x^2-3x+3} \right )} dx$

Published on 24 Mar 2026 - 19:08

score 39 · Answer 2 · 2018-01-24 13:22:29

39

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Find the integral from the image given below

Published on 24 Jan 2018 - 13:22

score 289 · Answer 3 · 2026-04-09 02:01:57

289

Views

$\exists c>0$ such that $ (z-x)\int_z^y{f(t)dt} - (y-z)\int_x^z{f(t)dt \geq c(z-x)(y-z)}$

Published on 09 Apr 2026 - 2:01

score 77 · Answer 4 · 2026-04-09 02:50:57

77

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Formula for equilibrium measure on [-1,1] for various kernels?

Published on 09 Apr 2026 - 2:50

score 914 · Answer 5 · 2026-04-01 18:47:15

914

Views

Proving integral diverges limits

Published on 01 Apr 2026 - 18:47

score 284 · Answer 6 · 2018-01-25 02:44:40

284

Views

Find the line that divides a bounded 2d region into 2 equal areas.

Published on 25 Jan 2018 - 2:44

score 136 · Answer 7 · 2026-04-08 22:40:53

136

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Evaluating a definite integral with hypergeometric function

Published on 08 Apr 2026 - 22:40

score 143 · Answer 8 · 2026-03-25 11:16:32

143

Views

Proof verification : $n\cdot \int_{0}^{1} x^n \cdot f(x) \, \mathrm{d}x\underset{n\to+\infty}{\longrightarrow}f(1) $

Published on 25 Mar 2026 - 11:16

score 178 · Answer 9 · 2026-04-09 02:09:54

178

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$\int_0^1 \int_0^{1-y} \cos\Big( \frac{x-y}{x+y} \Big) \, dx dy$

Published on 09 Apr 2026 - 2:09

score 92 · Answer 10 · 2018-01-25 22:06:06

92

Views

Solve for $f(x)$: $f(x) = x^2+\int_0^1xf\left(t\right)dt$

Published on 25 Jan 2018 - 22:06

score 94 · Answer 11 · 2026-04-08 23:46:52

94

Views

Let $n$ is a natural number. Find $\int_0^n 2x \lfloor x \rfloor dx$

Published on 08 Apr 2026 - 23:46

score 192 · Answer 12 · 2018-01-26 06:42:16

192

Views

Computing the definite integral $\int _0^a \:x \sqrt{x^2+a^2} \,\mathrm d x$

Published on 26 Jan 2018 - 6:42

score 402 · Answer 13 · 2018-01-26 11:13:04

402

Views

Compute $\lim\limits_{n \to \infty} n\sum\limits_{k=1}^n(f(k/n) - f((k-1)/n))\int_{(k-1)/n}^{k/n}f(t)dt$

Published on 26 Jan 2018 - 11:13

score 70 · Answer 14 · 2026-04-09 19:42:17

70

Views

Integral of function from $0$ to $\pi$ using $\sin x=t$ substitution

Published on 09 Apr 2026 - 19:42

score 145 · Answer 15 · 2026-04-09 16:38:36

145

Views

How to figure out this definite integral

Published on 09 Apr 2026 - 16:38

List Question

Evaluate $\int_{1}^{2} \ \frac{\arctan (x)}{\arctan \left (\frac{1}{x^2-3x+3} \right )} dx$

Find the integral from the image given below

$\exists c>0$ such that $ (z-x)\int_z^y{f(t)dt} - (y-z)\int_x^z{f(t)dt \geq c(z-x)(y-z)}$

Formula for equilibrium measure on [-1,1] for various kernels?

Proving integral diverges limits

Find the line that divides a bounded 2d region into 2 equal areas.

Evaluating a definite integral with hypergeometric function

Proof verification : $n\cdot \int_{0}^{1} x^n \cdot f(x) \, \mathrm{d}x\underset{n\to+\infty}{\longrightarrow}f(1) $

$\int_0^1 \int_0^{1-y} \cos\Big( \frac{x-y}{x+y} \Big) \, dx dy$

Solve for $f(x)$: $f(x) = x^2+\int_0^1xf\left(t\right)dt$

Let $n$ is a natural number. Find $\int_0^n 2x \lfloor x \rfloor dx$

Computing the definite integral $\int _0^a \:x \sqrt{x^2+a^2} \,\mathrm d x$

Compute $\lim\limits_{n \to \infty} n\sum\limits_{k=1}^n(f(k/n) - f((k-1)/n))\int_{(k-1)/n}^{k/n}f(t)dt$

Integral of function from $0$ to $\pi$ using $\sin x=t$ substitution

How to figure out this definite integral

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