Explain why the integrand in the arc-length formula for an even differentiable…
MATHEMATICS · Subjective · AP · Calculus BC · Applications of Integration · Applications of Integration
Problem
Explain why the integrand in the arc-length formula for an even differentiable function f defined on [−a,a] is itself an even function, and consequently why the total arc length on [−a,a] equals twice the arc length on [0,a].