Find the Integral e^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 integral of et with respect to t is 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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