How can I evaluate this integral involving cylinder? It has two cylinders x^2+y^2=16, x^2+z^2=16 JJI xyz dW, B is region bounded by two cylinders,Вx^2 + y^2 = 16, x^2 + z^2 = 16, and the firstoctant with dW = dzdydx.

Consider the given volume of the two intersecting cylinders given by x2+y2=16 andx2+z2=16 as shown…

Answered: SI xyz dW, B is region bounded by two…

SI xyz dW, B is region bounded by two cylinders, wwwm w В x^2 + y^2 = 16, x^2 + z^2 = 16, and the first %3D octant with dW = dzdydx. %D

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

How can I evaluate this integral involving cylinder?

It has two cylinders x^2+y^2=16, x^2+z^2=16

JJI xyz dW, B is region bounded by two cylinders,
В
x^2 + y^2 = 16, x^2 + z^2 = 16, and the first
octant with dW = dzdydx.

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.

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