Electric Field of Continuous Charge

⃗ 𝐸 (𝑃) = \int 𝑠 𝑜 𝑢 𝑟 𝑐 𝑒 𝑘 𝑟 3 𝑑 𝑞 ⃗ 𝑟

Where
$𝑟$ is the distance from $𝑑 𝑞$ to $𝑃$
$⃗ 𝑟$ is the vector form $𝑑 𝑞$ to $𝑃$

Consider a ring along the $𝑥, 𝑦, 𝑧$ axis