Mathematics - Calculus - Integral - Introduction to integrals - Antiderivative Discovery

Show f(x)=2x (a line). Ask: 'What function has derivative 2x?' Display F(x)=x²+C as the antiderivative. Show how F'(x)=2x=f(x). Now show f(x)=3x². Student drags a slider to adjust the proposed antiderivative until its derivative matches f(x). They discover F(x)=x³. Present 5 functions to 'undo' the