A+ » VCE » Maths Methods U3 & 4 Master Notes » A3 Calculus » 8.1 Anti-Differentiation Concepts

8.1 Anti-Differentiation Concepts

Anti-Differentiation

  • The area under a graph within an interval x \in [a,b] can be estimated by a sum of rectangles for smaller intervals of v.
  • Differentiation is the process of finding the derivative function from the original function. Conversely, the process of finding a function from its derivative is called anti-differentiation.
  • f(x) is known as the antiderivative of f^{\prime}(x).
  • A derivative function might have several antiderivatives (see example).
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