Stage: 5 Challenge Level: 
Have you carefully read the question?
What happens if you repeatedly apply DIFF to $f(x)=x$?
What happens if you repeatedly apply INT to $f(x)=x$?
What happens if you apply DIFF several times followed by INT several times?
What functions might you try instead of $f(x)=x$?
Maths in STEM. Calculus generally. Manipulating algebraic expressions/formulae. Transformation of functions. Discussion. Individual. chemistry. Differentiation. Investigations. Integration.
Published July 2009,August 2009.
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