Triple Integral in Spherical Coordinates by Ku, Yin Bon (Albert)
Loading the math board and drawing, please wait…
This example demonstrates how to compute a triple integral in spherical coordinates. It involves coordinate transformation and integration in spherical coordinates. Users can dynamically adjust the integration region using the Surface command. Suitable for university mathematics students and researchers in related fields.
GeoGebra Commands & Parameters
Surface(((4 * sin(u)) * cos(v)), ((4 * sin(u)) * sin(v)), (4 * cos(u)), u, 0, 0.7854, v, 0, 6.28319) → aSurface((u * cos(v)), (u * sin(v)), u, v, 0, 6.283185307179586, u, 0, 2.8284271247461903) → b
AI Drawing Prompt Reference
Draw a part of a sphere with radius 4, located above the xoy plane, where angle u ranges from 0 to π/4, and angle v ranges from 0 to 2π. Then draw a cone with a base radius that linearly increases from 0 to 2√2, height from 0 to 2√2, and angle v from 0 to 2π.
The prompt above was compiled from the original drawing commands and is for reference only.