For these problems, the most important sketch is the projection in the plane of integration , which is easy to do by hand. However, you might like to use your computer to plot the corresponding 3 dimensional picture. The part of the plane x + y + z = 1 which is in the first octant is a triangular area (sketch it). Find the area and its centroid by integration. You might like to check your work by geometry.
For these problems, the most important sketch is the projection in the plane of integration , which is easy to do by hand. However, you might like to use your computer to plot the corresponding 3 dimensional picture. The part of the plane x + y + z = 1 which is in the first octant is a triangular area (sketch it). Find the area and its centroid by integration. You might like to check your work by geometry.
For these problems, the most important sketch is the projection in the plane of integration, which is easy to do by hand. However, you might like to use your computer to plot the corresponding 3 dimensional picture.
The part of the plane
x
+
y
+
z
=
1
which is in the first octant is a triangular area (sketch it). Find the area and its centroid by integration. You might like to check your work by geometry.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY