f(x) = [integral from 0 to x] tan−1(t)dt based at b = 0.
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integrate term for term ... since ... o.k. ... integrate
so when there's a problem stating arctan, I immediately change it to 1/(1+x^2)?
you're speaking in absolutes, and no one can tell you to always do it this way. suffice it to say that it's one nice method to find the power series for the arctan function
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