Section 2 Integration identities

P o l a r r^{2} = x^{2} + y^{2} x = r cos (θ) y = r sin (θ) C a r t es ian t o C y l in d r i c a l N o t i ce t hi s i s P o l a r w i t h z = z x = r cos (θ) y = r sin (θ) z = z Sp h er i c a l t o C y l in d r i c a l r = ρ sin (ϕ) θ = θ z = ρ cos (ϕ) ρ^{2} = r^{2} + z^{2} Sp h er i c a l ρ^{2} = x^{2} + y^{2} + z^{2} N o t i ce t hi s i s p o l a r w i t h z d e f in e d x = r cos (θ) y = r sin (θ) z = ρ cos (ϕ) x = ρ sin (ϕ) cos (θ) y = ρ sin (ϕ) sin (θ) z = ρ cos (ϕ)

$Integration Labels$