Evaluate the Integral integral of 2^x with respect to x

Problem

(∫_^)(2*d(x))

Solution

1. Identify the form of the integral as an exponential function ax where a=2

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 a=2 into the formula to find the antiderivative.

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

Final Answer

(∫_^)(2*d(x))=2/ln(2)+C

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