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 4 ∫ 0 ( 4 − x ) / 2 ∫ 0 ( 12 − 3 x − 6 y ) / 4 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 4 ∫ 0 ( 4 − x ) / 2 ∫ 0 ( 12 − 3 x − 6 y ) / 4 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
4
∫
0
(
4
−
x
)
/
2
∫
0
(
12
−
3
x
−
6
y
)
/
4
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.
Volumes of solids Use a triple integral to find the volume of thefollowing solid.
Setup, but don't evaluate, the integrals which give the volume of the solid formed by revolving the region bounded by y = x2+1, y = x, x = 1, x = 2 about these lines:
a) x = -3
b) x = 4
c) x = 1
Setup, but don't evaluate, the integrals which give the volume of the solid formed by revolving the region bounded by y = x2+1, y = x, x = 1, x = 2 about these lines:
a) x-axis
b) y = -1
c) y = 6
d) y-axis
e) x = -3
f) x = 4
g) x = 1
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.
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