Mathematical Methods · anti-differentiation · manipulative

Anti-differentiation reverses differentiation

Top: an antiderivative F. Bottom: the integrand f. Scrub x — the tangent slope of F becomes the height of f.

F(x) tangent = F′ f(x) (x, f(x))

y = F(x) · antiderivative

y = f(x) · integrand = F′(x)

Drag on the top graph to move x · F′(x) should match f(x)

Pair F → f

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Working