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

Problem

(∫_^)(et*d(t))

Solution

1. Identify the integrand as the natural exponential function et

2. Apply the rule for the integral of the exponential function, which states that the derivative and integral of et are both et

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

Final Answer

(∫_^)(et*d(t))=et+C

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