Triple Integrals

Welcome to the "Triple Integrals" category on Questions LLC! This category is specifically designed for those who are curious about and seeking answers related to triple integrals. Whether you are a student studying calculus, a mathematics enthusiast, or simply interested in exploring the concept of triple integrals, you've come to the right place. Here, you will find a range of questions, discussions, and solutions on topics such as volume calculations, iterated integrals, coordinate systems, and more. Dive in, expand your knowledge, and discover the beauty of triple integrals with our community of avid learners and experts.

Questions (20)

Evaluate, in spherical coordinates, the triple integral of f(rho,theta,phi)=cos (phi) , over the region 3<rho<7, 0<theta<2pi,
1. 5 answers
2. asked by Mackenzie
3. 2,959 views
Evaluate the triple integral ∭ExdVwhere E is the solid bounded by the paraboloid x=4y^2+4z^2 and x=4 .
1. 2 answers
2. asked by val
3. 53 views
Evaluate the triple integral ∭ExdVwhere E is the solid bounded by the paraboloid x=4y2+4z2 and x=4 .
1. 2 answers
2. asked by val
3. 51 views
Evaluate ∫∫∫Bf(x,y,z)dVfor the specified function f and B:f(x,y,z)=z/x 3≤x≤6,0≤y≤8,0≤z≤2 ∫∫∫Bf(x,y,z)dV=
1. 2 answers
2. asked by val
3. 38 views
Evaluate ∫∫∫Bf(x,y,z)dVfor the specified function f and B: f(x,y,z)=zx3≤x≤6,0≤y≤8,0≤z≤2 ∫∫∫Bf(x,y,z)dV=
1. 2 answers
2. asked by val
3. 36 views
Use spherical coordinates to calculate the triple integral of f(x, y, z)=y over the region x^2+y^2+z^2≤8, x, y, z ≤ 0.
1. 4 answers
2. asked by EKM
3. 1,349 views
Evaluate the triple integral ∫∫∫_E (x+y)dV where E is bounded by the parabolic cylinder y=5x^2 and the planes z=9x, y=20x
1. 3 answers
2. asked by Salman
3. 584 views
Evaluate the triple integral ∭ExdV where E is the solid bounded by the paraboloid x=6y2+6z2and x=6 .
1. 2 answers
2. asked by val
3. 54 views
Evaluate the triple integral∫∫∫ExyzdV where E is the solid: 0≤z≤6, 0≤y≤z, 0≤x≤y .
1. 2 answers
2. asked by val
3. 42 views
Use a triple integral to find the volume of the given solid.The solid enclosed by the cylinder x^2 + y^2 = 9 and the planes y +
1. 1 answer
2. asked by Anon
3. 473 views
Find the mass and center of mass of the solid E with the given density function ρ.E is bounded by the parabolic cylinder z = 1
1. 2 answers
2. asked by Anon
3. 573 views
Use a triple integral to find the volume of the given solid.The solid enclosed by the cylinder x^2 + y^2 = 9 and the planes y +
1. 1 answer
2. asked by Anon
3. 424 views
Let G be the region in the first octant that is inside both the cylinders x^2+y^2=1 and y^2+z^2=1. Use a triple integral to
1. 4 answers
2. asked by Heather
3. 326 views
using triple integral, find the volume of the solid bounded by the cylinder y^2+4z^2=16 and planes x=0 and x+y=4.please help to
1. 2 answers
2. asked by luthfi
3. 721 views
Evaluate the triple integral ∫∫∫_E (xyz)dV where E is the solid:0<=z<=5, 0<=y<=z, 0<=x<=y.
1. 1 answer
2. asked by Salman
3. 838 views
Use a triple integral to find the volume of the solid enclosed by the paraboloid x=8y^2+8z^2 and the plane x=8.
1. 2 answers
2. asked by Salman
3. 581 views
use spherical coordinates to evaluate the triple integral of(e^-(x^2+y^2+z^2))/(sqrt(x^2+y^2+z^2)dV where E is the region
1. 2 answers
2. asked by alana
3. 553 views
how do you find the triple integralxy dV where E is the solid tetrahedron with vertices (0,0,0),(7,0,0),(0,1,0),(0,0,8)?
1. 2 answers
2. asked by alana
3. 551 views
Hi, I've been working on this problem:Evaluate the triple integral of xz with the vertices (0,0,0), (0,1,0), (0,1,1), and
1. 3 answers
2. asked by Howie
3. 504 views
Evaluate the triple integral _E (xy)dV where E is a solid tetrahedron with vertices (0,0,0), (4,0,0), (0,1,0), (0,0,4)I just
1. 1 answer
2. asked by Salman
3. 470 views