Area Between Two Curves: Step-by-Step Method and Examples
Area between curves = ∫(top − bottom)dx. Find intersection points, handle curves that cross, and integrate with respect to y when easier. Worked examples.
Tag: applications
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Arc Length Formula in Calculus: Derivation and Examples
The arc length of y = f(x) from a to b is ∫√(1 + [f'(x)]²) dx. Derivation, worked examples (x^(3/2), a circle, a catenary) and parametric curves.