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**1. The problem statement**

Show that:

[tex]\int_{-\infty}^{\infty} f(x) \delta^{(n)}(x-a) dx = (-1)^n f^{(n)}(a)[/tex]

## The Attempt at a Solution

I am trying to understand how to prove:

[tex]\int_{-\infty}^{\infty} f(x) \delta '(x) dx =- f'(x)[/tex]

I know that we need to use integration by parts, but I'm looking for a more detailed explanation of how to use integration by parts (what is u and what is dv?). I think if I understand this, then I will be able to apply this to the problem above.

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