Integrals in Calculus
Integration is the reverse process of differentiation. It calculates accumulated quantities and areas under curves.
Types of Integrals
- Indefinite Integral: ∫f(x)dx = F(x) + C (antiderivative)
- Definite Integral: ∫[a,b]f(x)dx = F(b) - F(a) (area under curve)
Integration Techniques
Common methods include substitution, integration by parts, partial fractions, and trigonometric substitution.