Find the Integral 2^x

Problem

(∫_^)(2^x*d(x))

Solution

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

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

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^x*d(x))=2^x/ln(2)+C

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