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

Problem

(∫_^)(eu*d(u))

Solution

1. Identify the integrand as the natural exponential function eu

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

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

Final Answer

(∫_^)(eu*d(u))=eu+C

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