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For integrals involving expressions of the form √(a2-x2), the standard trigonometric substitution is x = a sin θ (or x = a cos θ). This substitution helps to simplify the radical by using the identity sin2θ + cos2θ = 1.In the given integral, ∫√(3-x2) dx, we have a2 = 3. Therefore, a = √3.Substituting x = √3 sin z:√(3-x2) = √(3 - (√3 sin z)2) = √(3 - 3sin2z) = √(3(1-sin2z)) = √(3cos2z) = √3 |cos z|.This simplification makes the integral solvable.Thus, the best substitution is x = √3 sin z, which matches option C.