Evaluate the Integral integral of 3^x with respect to x

Problem

(∫_^)(3^x*d(x))

Solution

1. Identify the form of the integral as an exponential function a^x where a=3

2. Apply the formula for the integral of an exponential function, which states (∫_^)(a^x*d(x))=(a^x)/ln(a)+C

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

4. Add the constant of integration C

Final Answer

(∫_^)(3^x*d(x))=3^x/ln(3)+C

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