If double integral in Cartesian coordinate is given by ∬R f(x,y) dx dy then the value of same integral in polar form is _____

Question

TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

∬P f(r cos θ, rsin θ)dr dθ

TuteeHUB · Answer

∬P f(r cos⁡θ, r sin⁡θ)rdr dθ

TuteeHUB · Answer

∬P f(r cos⁡θ, r sin⁡θ) r2 dr dθ

TuteeHUB · Answer

∬P f(r sin⁡θ, r cos⁡θ)dr dθ

1.	If double integral in Cartesian coordinate is given by ∬R f(x,y) dx dy then the value of same integral in polar form is _____
A.	∬P f(r cos θ, rsin θ)dr dθ
B.	∬P f(r cos⁡θ, r sin⁡θ)rdr dθ
C.	∬P f(r cos⁡θ, r sin⁡θ) r2 dr dθ
D.	∬P f(r sin⁡θ, r cos⁡θ)dr dθ
Answer» C.

Discussion