What coordinate system is suggested if the integrand of a triple integral involves x^{2} + y^{2}?

Amari Flowers 2020-12-25 Answered
What coordinate system is suggested if the integrand of a triple integral involves x2+y2?
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Answered 2020-12-26 Author has 71 answers
Step 1
Given: The integrand of a triple integral involves x2+y2
Step 2
A cylindrical coordinate system is used in triple integrals only.
Therefore, it is cylindrical coordinate system
Because x=rcos(θ),y=rsin(θ) and z=z
So, x2+y2=r2
z axis is same in both systems.
So, The integrand of a triple integral involves x2+y2 then its suggested to use cylindrical coordinate system
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