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Find f(x) in terms of x : f’(x) = 4x^2 - (2)/(x^2) + 4
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You are given the derivative f’(x) = - + 4,
and they want you find ant--derivative.
According to the rules of finding anti-derivatives,
f(x) = + + 4x + C,
where "C" is a constant.
Solved.
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For rules taking anti-derivatives, see your Calculus textbook, or your friend's Calculus textbook,
or any other Calculus textbook.
Or million Internet sites, for example, these four sites
https://www.cuemath.com/calculus/antiderivative-rules/
https://www.alamo.edu/contentassets/20691fef0c254307b473b980bb6648fb/integration/math1325-antiderivatives.pdf
https://web.ma.utexas.edu/users/m408n/CurrentWeb/LM4-9-4.php
https://www.math.purdue.edu/~egbertn/sp2017/notes/lessonr.pdf
on any taste.
A good Calculus student MUST know these rules as good and as confidently,
as he (or she) knows the multiplication table within the first ten natural numbers.