Integral of √(1−x²): Trig Substitution and the Semicircle
∫√(1−x²)dx = ½(x√(1−x²) + arcsin x) + C. Full trig substitution, the semicircle area π/2 shortcut, and the general √(a²−x²) formula.
∫√(1−x²)dx = ½(x√(1−x²) + arcsin x) + C. Full trig substitution, the semicircle area π/2 shortcut, and the general √(a²−x²) formula.