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Find the Antiderivative e^x

Problem

(∫_^)(ex*d(x))

Solution

  1. Identify the function to be integrated, which is the natural exponential function ex

  2. Apply the rule for the antiderivative of ex which states that the derivative of ex is ex

  3. Add the constant of integration C to represent the family of all possible antiderivatives.

Final Answer

(∫_^)(ex*d(x))=ex+C


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