Find the following integrals: ∫x(3x2 2x 3)dx - Mathematics | Shaalaa.com

Compute the following triple integral on the given region W ∈ ℝ³:∫∫∫W dx dy dz where W is a tetrahedron bounded by the planes w = 1, w = 3x 2y 3z = 6, x = 0, y = 0, and z = 0.Example 345: Compute I =Example 346: Compute ∫∫∫W cos(r 2) dr dy dz, where the set W is bounded by the surfaces y = √x, y = 0, and z = 0.Compute the triple integral on the region W bounded by the given surfaces:Example 351: I =∫∫∫W z dr dy dz. W: x = 0, y = 0, z = 0, x y = 1, and z = 2x²

Show that the formula using triple integrals for the volume und... | Filo