Question

$\lim_{n\to\infty} \underbrace{\int_{0}^{1}\cdots \int_{0}^{1}}_{n}\frac{x_1^{505}+\cdots +x_n^{505}}{x_1^{2020}+\cdots +x_n^{2020}}dx_1\cdots dx_n$

score 510 · Answer 1 · 2020-05-19 09:50:25

510

Views

$\lim_{n\to\infty} \underbrace{\int_{0}^{1}\cdots \int_{0}^{1}}_{n}\frac{x_1^{505}+\cdots +x_n^{505}}{x_1^{2020}+\cdots +x_n^{2020}}dx_1\cdots dx_n$

Published on 19 May 2020 - 9:50

score 270 · Answer 2 · 2020-05-20 19:57:59

270

Views

Calculate double integral $\iint_A |\sin(x+y)| \, \mathrm{d}x\mathrm{d}y$

Published on 20 May 2020 - 19:57

score 1.7k · Answer 3 · 2020-05-21 17:14:01

1.7k

Views

Area between $x=y^2-7$ and $x=e^y$ for $-1\leq y\leq 1$

Published on 21 May 2020 - 17:14

score 87 · Answer 4 · 2020-05-23 13:59:09

87

Views

Boundaries of a triple integral between $x^2+y^2=2z$ and $x+y=z$

Published on 23 May 2020 - 13:59

score 103 · Answer 5 · 2026-03-25 16:13:51

103

Views

Proving $\int_{0}^{1}\int_{0}^{1}\frac{x-1}{(1-xy)\ln(xy)} \mathrm dy \mathrm dx =\gamma$

Published on 25 Mar 2026 - 16:13

score 122 · Answer 6 · 2020-05-25 13:34:51

122

Views

How to find new limits by reversing order of integration in $\int_0^1\int_0^{\arccos(y)}x^2\sec(x)\,dx\,dy$?

Published on 25 May 2020 - 13:34

score 128 · Answer 7 · 2020-05-27 06:13:43

128

Views

Double integration using change of variables, given the vertices of a triangle

Published on 27 May 2020 - 6:13

score 293 · Answer 8 · 2020-05-27 13:51:53

293

Views

Let $R$ be the region enclosed by $x^2+4y^2\geq 1$ and $x^2+y^2\leq 1$. Then the value of $\int \int_R |xy|dx dy$

Published on 27 May 2020 - 13:51

score 42 · Answer 9 · 2020-06-01 19:17:15

42

Views

Finding $\iint_W x^2y\,\mathrm{d}x\,\mathrm{d}y$ where $W$ is a rectangle

Published on 01 Jun 2020 - 19:17

score 468 · Answer 10 · 2020-06-01 19:32:09

468

Views

For $ x,y,z \in (0,1) $ chosen randomly with uniform distribution, what's the probability that $x+y+z<1$?

Published on 01 Jun 2020 - 19:32

score 1.6k · Answer 11 · 2020-06-02 15:52:18

1.6k

Views

Calculating area using double integrals

Published on 02 Jun 2020 - 15:52

score 133 · Answer 12 · 2020-06-02 17:27:56

133

Views

Calculate area using double integral

Published on 02 Jun 2020 - 17:27

score 164 · Answer 13 · 2020-06-03 07:07:10

164

Views

Calculate $\iiint_V dx dy dz$

Published on 03 Jun 2020 - 7:07

score 50 · Answer 14 · 2020-06-05 22:59:10

50

Views

Why are the following limits used?

Published on 05 Jun 2020 - 22:59

score 88 · Answer 15 · 2020-06-06 09:49:23

88

Views

Finding $\iint _De^{\frac{x-y}{x+y}} dy\,dx$ where $D=\{(x,y):x\geq 0,y\geq 0,1\leq x+y\leq 2\}$

Published on 06 Jun 2020 - 9:49

List Question

$\lim_{n\to\infty} \underbrace{\int_{0}^{1}\cdots \int_{0}^{1}}_{n}\frac{x_1^{505}+\cdots +x_n^{505}}{x_1^{2020}+\cdots +x_n^{2020}}dx_1\cdots dx_n$

Calculate double integral $\iint_A |\sin(x+y)| \, \mathrm{d}x\mathrm{d}y$

Area between $x=y^2-7$ and $x=e^y$ for $-1\leq y\leq 1$

Boundaries of a triple integral between $x^2+y^2=2z$ and $x+y=z$

Proving $\int_{0}^{1}\int_{0}^{1}\frac{x-1}{(1-xy)\ln(xy)} \mathrm dy \mathrm dx =\gamma$

How to find new limits by reversing order of integration in $\int_0^1\int_0^{\arccos(y)}x^2\sec(x)\,dx\,dy$?

Double integration using change of variables, given the vertices of a triangle

Let $R$ be the region enclosed by $x^2+4y^2\geq 1$ and $x^2+y^2\leq 1$. Then the value of $\int \int_R |xy|dx dy$

Finding $\iint_W x^2y\,\mathrm{d}x\,\mathrm{d}y$ where $W$ is a rectangle

For $ x,y,z \in (0,1) $ chosen randomly with uniform distribution, what's the probability that $x+y+z<1$?

Calculating area using double integrals

Calculate area using double integral

Calculate $\iiint_V dx dy dz$

Why are the following limits used?

Finding $\iint _De^{\frac{x-y}{x+y}} dy\,dx$ where $D=\{(x,y):x\geq 0,y\geq 0,1\leq x+y\leq 2\}$

Trending Questions

Popular # Hahtags

Popular Questions