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For ____________ functions f, if f has an antiderivative, then this antiderivative is unique.

User Mukibul H
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Final answer:

In mathematics, for real-valued functions, if a function has an antiderivative, then that antiderivative is unique.

Step-by-step explanation:

In mathematics, for real-valued functions, if a function has an antiderivative, then that antiderivative is unique.



To understand this concept, let's consider the property of odd functions as an example. An odd function, such as xe-x², produces a graph that is symmetric about the origin. The integral over the entire x-axis of an odd function is zero because the areas above and below the x-axis cancel each other out.



Therefore, if an antiderivative exists for a function, it must be unique because the definite integral of the function will have a unique value.

User Thaavik
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