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This question is from Alberto Leon Garcia's book and the solutions are available in Chegg. I need help in understanding the derivation and simplification steps

 This question is from Alberto Leon Garcia's book and the solutions are available in Chegg. I need help in understanding the derivation and simplification steps in the following part of that solution.

 

4.102. (a) Find the characteristic function of the uniform random variable in [-b, b]. (b) Find the mean and variance of X by applying the moment theorem.

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