Evaluate the integral of e^x dx.

The integral of e^x dx is e^x + C, where C is the constant of integration.

To evaluate the integral of e^x dx, we can use the power rule of integration, which states that the integral of x^n dx is (x^(n+1))/(n+1) + C. However, since e^x is not a polynomial, we cannot use this rule directly. Instead, we can use the fact that the derivative of e^x is e^x, and apply the reverse chain rule of integration.

Let u = x, and du/dx = 1. Then, we can write e^x dx as e^u du. Using the reverse chain rule, we can integrate e^u du as e^u + C. Substituting back u = x, we get the final answer of e^x + C.

Therefore, the integral of e^x dx is e^x + C, where C is the constant of integration. This result can be verified by taking the derivative of e^x + C, which is e^x.