Evaluating triple integrals: Each of the triple integrals that follow represents

Brennan Flores

Brennan Flores

Answered question

2021-10-20

Evaluating triple integrals: Each of the triple integrals that follow represents the volume of a solid. Sketch the solid and evaluate the integral.
2204x20ydzdydx

Answer & Explanation

Raheem Donnelly

Raheem Donnelly

Skilled2021-10-21Added 75 answers

Given:
2204x20ydzdydx
Now,
2204x20ydzdydx=2204x2[z]0ydydx
=2204x2(y)dydx
=22[y22]04x2dx
=22[(4x2)220]dx
=22[4x2]dx
=[4xx33]22
=(4(2)(2)33)(4(2)(2)33)
(883)(8+83)
=883+883
=323
Hence,
2204x20ydzdydx=323

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