Integration basics: Antiderivative of f(x) is F(x) where F'(x) = f(x). Indefinite integral ∫f(x)dx = F(x) + C (C = constant). Reverse of differentiation. Example: ∫3x² dx = x³ + C (since d/dx[x³] = 3x²). ∫cos x dx = sin x + C. Properties: (1) ∫[f+g]dx = ∫f dx + ∫g dx; (2) ∫cf dx = c∫f dx; (3) ∫0 dx = C. Power rule: ∫xⁿ dx = x^(n+1)/(n+1) + C (n ≠ -1). Solving: Recognize function type; apply appropriate rule; add constant C. Shortcuts: Antiderivative table. Exam tip: Verify by differentiating result. Always include +C for indefinite integrals. Practice: Various function types.