# What is the antiderivative of #e^(8x)#?

We can go through the steps of integrating by substitution, but some find the following more clear:

Here is the substitution solution

The integral becomes:

Reversing the substitution gives

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The antiderivative of ( e^{8x} ) is ( \frac{1}{8} e^{8x} + C ), where ( C ) is the constant of integration.

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