Finding the Antiderivative of e^x: Basic Rules of Integration with Constant of Integration

antiderivative of e^x

The antiderivative of e^x, which is also known as the indefinite integral of e^x, can be found by applying the basic rules of integration

The antiderivative of e^x, which is also known as the indefinite integral of e^x, can be found by applying the basic rules of integration.

To integrate e^x, we can use a simple rule stating that the integral of e^x is equal to itself. However, it is necessary to include a constant of integration, C, which accounts for all possible antiderivative functions that differ by a constant.

Therefore, the antiderivative of e^x is:

∫e^x dx = e^x + C.

Here, the “+ C” represents the constant of integration.

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