Question

When determining (without calculation) the sign of an integral, is the integrand all we have to look at?

score 2.9k · Answer 1 · 2026-03-26 17:33:41

2.9k

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When determining (without calculation) the sign of an integral, is the integrand all we have to look at?

Published on 26 Mar 2026 - 17:33

score 33 · Answer 2 · 2026-03-25 03:03:10

33

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Can we set up the volume of a 3D solid as a sum of two triple integrals?

Published on 25 Mar 2026 - 3:03

score 27 · Answer 3 · 2026-03-25 04:42:39

27

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integral using change of order of $\int _0^9\:\int _{x^{1/2}}^3\cos{(y^3-3y)}\,dy\,dx$?

Published on 25 Mar 2026 - 4:42

score 95 · Answer 4 · 2019-09-23 15:36:20

95

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How do we know from trig functions the length of a line segment? (like how we know sin$\theta = \sqrt2/2$ means length $1$)

Published on 23 Sep 2019 - 15:36

score 77 · Answer 5 · 2026-03-26 17:33:15

77

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Write a triple integral that gives the volume of the region between $z=2$ and the top half of the sphere $x^2 + y^2 + z^2 = 9 $

Published on 26 Mar 2026 - 17:33

score 152 · Answer 6 · 2019-09-25 14:57:57

152

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Calculating the value of a triple integral

Published on 25 Sep 2019 - 14:57

score 299 · Answer 7 · 2019-09-25 15:39:54

299

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Particle traveling on a Helix curve and work against gravity

Published on 25 Sep 2019 - 15:39

score 40 · Answer 8 · 2019-09-26 15:32:36

40

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Particle air resistance in helix curve

Published on 26 Sep 2019 - 15:32

score 31 · Answer 9 · 2019-09-29 15:23:54

31

Views

Integration in cylindrical coordinate

Published on 29 Sep 2019 - 15:23

score 240 · Answer 10 · 2026-03-25 21:49:38

240

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The integral is not iterated integral. Will this fact prevent us from swapping the order of surface and volume integrals? Why? Why not?

Published on 25 Mar 2026 - 21:49

score 67 · Answer 11 · 2026-03-26 06:27:22

67

Views

Line integral in parameterized curve

Published on 26 Mar 2026 - 6:27

score 251 · Answer 12 · 2014-06-24 15:38:11

251

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Where is my mistake in finding $\int_D e^\frac{x-y}{x+y}\,dx\,dy$?

Published on 24 Jun 2014 - 15:38

score 1.7k · Answer 13 · 2014-07-20 03:52:24

1.7k

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Triple Integral $\iiint\limits_Dz\;dx\,dy\,dz$ where $D=\{(x,y,z):x^2+y^2=1,0\le z\le\sqrt{x^2+y^2}\}$

Published on 20 Jul 2014 - 3:52

score 1.3k · Answer 14 · 2014-11-22 01:11:46

1.3k

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Double Integral $\int\limits_0^a\int\limits_0^a\frac{dx\,dy}{(x^2+y^2+a^2)^\frac32}$

Published on 22 Nov 2014 - 1:11

score 3.1k · Answer 15 · 2014-12-15 01:28:28

3.1k

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Using Stokes' Theorem to evaluate $\int_{C}{(xyz)dx+(xy)dy+(x)dz}$

Published on 15 Dec 2014 - 1:28

List Question

When determining (without calculation) the sign of an integral, is the integrand all we have to look at?

Can we set up the volume of a 3D solid as a sum of two triple integrals?

integral using change of order of $\int _0^9\:\int _{x^{1/2}}^3\cos{(y^3-3y)}\,dy\,dx$?

How do we know from trig functions the length of a line segment? (like how we know sin$\theta = \sqrt2/2$ means length $1$)

Write a triple integral that gives the volume of the region between $z=2$ and the top half of the sphere $x^2 + y^2 + z^2 = 9 $

Calculating the value of a triple integral

Particle traveling on a Helix curve and work against gravity

Particle air resistance in helix curve

Integration in cylindrical coordinate

The integral is not iterated integral. Will this fact prevent us from swapping the order of surface and volume integrals? Why? Why not?

Line integral in parameterized curve

Where is my mistake in finding $\int_D e^\frac{x-y}{x+y}\,dx\,dy$?

Triple Integral $\iiint\limits_Dz\;dx\,dy\,dz$ where $D=\{(x,y,z):x^2+y^2=1,0\le z\le\sqrt{x^2+y^2}\}$

Double Integral $\int\limits_0^a\int\limits_0^a\frac{dx\,dy}{(x^2+y^2+a^2)^\frac32}$

Using Stokes' Theorem to evaluate $\int_{C}{(xyz)dx+(xy)dy+(x)dz}$

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