Evaluate the Integral integral of e^u with respect to u

Problem

(∫_^)(e^u*d(u))

Solution

1. Identify the integrand as the natural exponential function e^u

2. Apply the rule for the integral of the exponential function, which states that the derivative of e^u is e^u and therefore its antiderivative is also e^u

3. Add the constant of integration C to represent the family of all possible antiderivatives.

Final Answer

(∫_^)(e^u*d(u))=e^u+C

Want more problems? Check here!