Convert the following integral to spherical coordinates and evaluate: ∫₋₃³∫₀(√(9-x²))∫₀⁽√⁽⁹⁻ˣ²⁻ʸ²⁾) e⁽⁻⁽ˣ²⁺ʸ²⁺ᶻ²⁾⁽⁽³⁾/⁽²⁾⁾⁾dzdydx.