Question: Using knowledge of derivatives, what is f(x) as the solution to the initial value problem f'(x) = (1/(1+x^2)) - sec^2x Answer is f(x) = arctan(x)

Using knowledge of derivatives, what is f(x) as the solution to the initial value problem

f'(x) = (1/(1+x^2)) - sec^2x

Answer is f(x) = arctan(x) - tan(x) +1

I would like to learn the process used to solve this one.

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