SOLUTION: Find f(x) in terms of x : f’(x) = 4x^2 - (2)/(x^2) + 4

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Question 1202804: Find f(x) in terms of x :
f’(x) = 4x^2 - (2)/(x^2) + 4

Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
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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) = 4x%5E2 - %282%29%2F%28x%5E2%29 + 4,
and they want you find ant--derivative.



According to the rules of finding anti-derivatives,

    f(x) = %284%2F3%29x%5E3 + 2%2Fx + 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.