Step 1: Understand that we want to find the integral of the function e^x with respect to x.
Step 2: Recall that the integral of e^x is a special case in calculus.
Step 3: The integral of e^x is simply e^x itself.
Step 4: Since we are finding an indefinite integral, we need to add a constant 'C' to represent any constant value that could be added.
Step 5: Therefore, the final answer is e^x + C.
Integration of Exponential Functions – The integral of the exponential function e^x is a fundamental concept in calculus, where the integral of e^x with respect to x is e^x plus a constant of integration (C).