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# ACMMM115

## 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).