Sketch the solid whose volume is given by the iterated integral.
28.
∫
0
2
∫
0
2
−
y
∫
0
4
−
y
2
d
x
d
z
d
y
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.
Set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the x-axis.
y = 16 - x²
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X
y
16-
14-
12-
10-
8-
6
4-
2-
0
Watch It
2
Master It
5
Set-up the integral that would find the volume of the solid of revolution when given region bounded by the
line x = -4 and the parabola x =
3y - y² is revolved about the line
Y
= 4. Integrate to find the volume.
-7
-6
-5
4
0
2
3
SHOW FULL SOLUTION AND EXPLAIN. INTEGRAL CALCULUS.
SHOW FULL SOLUTION AND EXPLAIN. INTEGRAL CALCULUS.
2. Using a vertical element, determine the volume of the solid generated by the area bounded by y=1/x, x=1, and the coordinate axes, rotated about 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