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integrals of delta function

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(See attached file for full problem description)

1. Calculate the values of the following integrals.

2. Write delta(x^2 - 4) in terms of a sum of ordinary delta functions.

3. Write delta(sin(x)) in terms of a sum of ordinary delta functions (an infinite number!).

4. Calculate the values of the following integrals involving derivatives of delta functions:

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Solution Summary

The solution provides detailed explanations of the integrals of delta functions and derivatives of delta functions. It also shows how to express the delta function of a complex function as a sum of oridinary delta functions.

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