## ∫e^x dx

### To integrate the function ∫e^x dx, we can use the basic rule of integration, which states that the integral of e^x is equal to e^x itself plus a constant:

∫e^x dx = e^x + C

Where C represents the constant of integration

To integrate the function ∫e^x dx, we can use the basic rule of integration, which states that the integral of e^x is equal to e^x itself plus a constant:

∫e^x dx = e^x + C

Where C represents the constant of integration.

This rule can be derived by using the definition of the exponential function and the limit definition of the integral. Since the derivative of e^x is e^x, the integral of e^x with respect to x will give us back e^x.

So, the integral of e^x is simply e^x + C, where C represents any constant value.

Therefore, the result of integrating ∫e^x dx is:

∫e^x dx = e^x + C

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