Find the Integral 2e^x

Problem

(∫_^)(2*ex*d(x))

Solution

1. Identify the constant factor in the integrand.

2. Apply the constant multiple rule for integration, which allows the constant 2 to be moved outside the integral sign.

(∫_^)(2*ex*d(x))=2*(∫_^)(ex*d(x))

3. Apply the exponential rule for integration, which states that the integral of ex is ex

2*(∫_^)(ex*d(x))=2*ex+C

4. Include the constant of integration C to represent the family of all possible antiderivatives.

Final Answer

(∫_^)(2*ex*d(x))=2*ex+C

Want more problems? Check here!