Question: Consider this function defined byan integral:f(x)=0xarctan(2t)tdt(a) Find the power series representation centered atx=0. Complete the given equation, expressing your answer in such a way that

Consider this function defined byan integral:f(x)=0xarctan(2t)tdt(a) Find the power series representation centered atx=0. Complete the given equation, expressing your answer in such a way that the index n=0 gives the first non-zero term of the power series.Answer: ,f(x)=n=0c(b) Enter the first 5 nonzero terms of the power series.Answer: ,f(x)=+(c) Find the largest open interval on which the power series converges. Answer in interval notation.Answer:

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