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.
Consider the triple integral: (ʃ_2^3 ʃ_4^8 ʃ_0^10 sin(xy-z) dxdydz). Use a change of variables to transform the integral to an integral over the cube: {0<a<1, 0<b<1, 0<c<1}.
6.3.18. Evaluate the integral.
using U substitution
integrate (cos^2(x)sin^2(x))dx
Evaluate the iterated integral.
1
−1
4
(x2 − y2) dy dx
−4
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Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=rCWOdfQ3cwQ;License: Standard YouTube License, CC-BY