For a differentiable function that satisfies for all

MATHEMATICS · Subjective · AP · Calculus BC · Applications of Integration · Applications of Integration

Problem

For a differentiable function

f

that satisfies

f(-x)=f(x)

for all

x\in[-a,a]

, express the arc length

L

of its graph on

[-a,a]

in terms of an integral over

[0,a]