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Integrals of Exponential Functions

If , and because , we have a very important special case:

Thus, the integral (or antiderivative) of differs from the original function by at most a constant.

  1. If , what is ?

  1. What function has a derivative of ? How can you manipulate this function so it would have a derivative of ?

  1. Don't worry if you cannot figure out the antiderivative of , you could always expand it first and undo the Power Rule.