Changing the Order of integration In Exercises 25-30, sketch the solid whose volume is Riven by the iterated integral. Then rewrite the integral using the indicated order of integration. ∫ 0 2 ∫ 2 x 4 ∫ 0 y 2 − 4 x 2 d z d y d x Rewrite using dy dz dx
Changing the Order of integration In Exercises 25-30, sketch the solid whose volume is Riven by the iterated integral. Then rewrite the integral using the indicated order of integration. ∫ 0 2 ∫ 2 x 4 ∫ 0 y 2 − 4 x 2 d z d y d x Rewrite using dy dz dx
Solution Summary: The graph is shown below. The iterated integral displaystyle 'underset' is a triple integral in the provided order of integration.
Changing the Order of integration In Exercises 25-30, sketch the solid whose volume is Riven by the iterated integral. Then rewrite the integral using the indicated order of integration.
∫
0
2
∫
2
x
4
∫
0
y
2
−
4
x
2
d
z
d
y
d
x
Rewrite using dy dz dx
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.
Use the method of washers to find the volume of the solid that is obtained
when the region between the graphs f(x) = √√2 and g(x) = secx over the
interval ≤x≤ is rotated about the x-axis.
5
Use the method of disks to find the volume of the solid that is obtained
when the region under the curve y = over the interval [4,17] is rotated
about the x-axis.
3. Use the method of washers to find the volume of the solid that is obtained
when the region between the graphs f(x) = √√2 and g(x) = secx over the
interval ≤x≤ is rotated about the x-axis.
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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