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

Amari Flowers

Amari Flowers

Answered question

2020-12-25

What coordinate system is suggested if the integrand of a triple integral involves x2+y2?

Answer & Explanation

doplovif

doplovif

Skilled2020-12-26Added 71 answers

Step 1
Given: The integrand of a triple integral involves x2+y2
Step 2
Explanation:
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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