Question: How do you solve these problems? Please give very detailed steps. 6. Use your knowledge of power series to answer the following. (a) Find a

How do you solve these problems? Please give very detailed steps.

6. Use your knowledge of power series to answer the following. (a) Find a power series representation for f(x) = 4x 4+ 24 (b) The function F(x) = arctan has derivative F'(x) = f(x), where f(x) is the function in part (a). Find a power series representation for F(x)

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