--- title: "Meaning & Key Takeaway of: But just as much as it is easy to find…" description: "\"But just as much as it is easy to find the differential [derivative] of a given quantity, so it is difficult to find the integral of a given differenti..." image: "https://sms4smile.com/quotes/i/324/johann-bernoulli-74276_calculus_but-just-as-much-as-it-is-easy-to-find-t_3054028.png" --- # But just as much as it is easy to find the differential… ![“But just as much as it is easy to find the differential [derivative] of a given quantity, so it is difficult to find the integral of a given differential. Moreover, sometimes we cannot say with certainty whether the integral of a given quantity can be found or not.” quote by Johann Bernoulli](https://sms4smile.com/quotes/i/324/johann-bernoulli-74276_calculus_but-just-as-much-as-it-is-easy-to-find-t_3054028.png) [Download](https://sms4smile.com/quotes/i/324/johann-bernoulli-74276_calculus_but-just-as-much-as-it-is-easy-to-find-t_3054028.png) [Open image](https://sms4smile.com/quotes/i/324/johann-bernoulli-74276_calculus_but-just-as-much-as-it-is-easy-to-find-t_3054028.png) > “But just as much as it is easy to find the differential \[derivative\] of a given quantity, so it is difficult to find the integral of a given differential. Moreover, sometimes we cannot say with certainty whether the integral of a given quantity can be found or not.” Johann Bernoulli ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Differentiation is straightforward, but integration can be uncertain or impossible. **In simple terms:** Finding derivatives is easy; finding antiderivatives can be hard. Key Takeaway Recognize limits of solvability. Themes mathematics calculus uncertainty Mood analytical reflective Type educational philosophical When to use this quote - solving physics problems - engineering design - economic modeling - educational instruction Key Concepts analysis integration existence Questions to Reflect On - When is approximation acceptable? - How to decide if a problem is solvable? A Different Perspective Not all functions have elementary antiderivatives, requiring approximation. ★ ★ ★ ★ ★ No ratings yet [Calculus](https://sms4smile.com/quotes/about/calculus/) [Certainty](https://sms4smile.com/quotes/about/certainty/) [Derivative](https://sms4smile.com/quotes/about/derivative/) [Differential calculus](https://sms4smile.com/quotes/about/differential-calculus/) [Education](https://sms4smile.com/quotes/about/education/) [Integral calculus](https://sms4smile.com/quotes/about/integral-calculus/) [Math](https://sms4smile.com/quotes/about/math/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Statistics](https://sms4smile.com/quotes/about/statistics/) ## Related quotes > [I'm very good at integral and differential calculus, I know the scientific names of beings animalculous; In short, in matters vegetable, animal, and mineral,…](https://sms4smile.com/quotes/w-s-gilbert/i-m-very-good-at-integral-and-differential-calculus-i-know-the/) [W. S. 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