How to find the antiderivative of a graph

Which is an antiderivative? An antiderivative of function f(x) is a function whose derivative is equal to f(x). Is integral the same as antiderivative? The set of all antiderivatives of a function


5.1 Constructing Accurate Graphs of Antiderivatives

Each antiderivative of f f is determined uniquely by its value at a single point. For example, suppose that f f is the function given at left in Figure5.5, and suppose further that F F is an
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5.1: Construction Accurate Graphs of Antiderivatives

Visually, antiderivatives can be thought of as finding the area under a curve. For instance, to find the antiderivative of {eq}f (x) = 2x {/eq}, calculate the area under the curve