Evaluate the Integral integral of e^x with respect to x

Problem

(∫_^)(ex*d(x))

Solution

1. Identify the integrand, which is the natural exponential function ex

2. Apply the rule for the integral of the natural exponential function, which states that the derivative of ex is ex and therefore its antiderivative is also 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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