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

Problem

(∫_^)(e^x*d(x))

Solution

1. Identify the integrand, which is the natural exponential function e^x

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

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

Final Answer

(∫_^)(e^x*d(x))=e^x+C

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