Changing the Order of Integration In Exercises 61-66, sketch the region of integration. Then evaluate the iterated integral. (Hint: Note that it is necessary to change the order of integration.) ∫ 0 2 ∫ x 2 e − y 2 d y d x
Solution Summary: The author illustrates how the iterated integral is sketched, and the region of integration is shown.
Changing the Order of Integration In Exercises 61-66, sketch the region of integration. Then evaluate the iterated integral. (Hint: Note that it is necessary to change the order of integration.)
∫
0
2
∫
x
2
e
−
y
2
d
y
d
x
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.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
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