Find the Antiderivative 3^x

Problem

(∫_^)(3*d(x))

Solution

1. Identify the form of the integrand, which is an exponential function of the form ax where a=3

2. Apply the rule for the antiderivative of an exponential function, which states that (∫_^)(ax*d(x))=(ax)/ln(a)+C for any positive constant a≠1

3. Substitute the value a=3 into the formula.

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

Final Answer

(∫_^)(3*d(x))=3/ln(3)+C

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