Math Exponentials and logarithms

For three topics/problems from the list below that interest you,
describe it, give an example, and solve it.

1. Exponentials and logarithms
2. methods of integration
3. polar coordinates
4. complex numbers
5. series
6. Taylor and power series
6. Fourier Series.

Your score will depend on the difficulty of the problems/topics you
choose and the clarity, completeness, and correctness of your
presentation of the material. More challenging topics/problems will
be afforded better scores and each problem will be scored as
follows
Score = difficulty*(correctness + presentation)

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