The Integration Rule | Finding the Integral of e^x with Respect to x

∫ eˣ dx

To find the integral of e^x, we can use a basic integration rule

To find the integral of e^x, we can use a basic integration rule. The integral of e^x with respect to x is equal to itself, e^x, plus a constant of integration, C.

Therefore, the integral of e^x dx is equal to e^x + C.

The constant of integration, denoted as C, is added because when we differentiate e^x, we get e^x again. Differentiating an integral should give us the original function, but we could potentially lose some information about the constant value.

So, the final result for ∫ e^x dx is e^x + C.

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