Evaluate the Integral integral of 12^x with respect to x

Problem

(∫_^)(12*d(x))

Solution

1. Identify the form of the integrand, which is an exponential function of the form ax where a=12

2. Apply the formula for the integral 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=12 into the formula.

4. Add the constant of integration C to complete the indefinite integral.

Final Answer

(∫_^)(12*d(x))=12/ln(12)+C

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