Find the Integral 2^x

Problem

(∫_^)(2*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 ax which is (∫_^)(ax*d(x))=(ax)/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*d(x))=2/ln(2)+C

Want more problems? Check here!