Assume that (0) = (1) = 0 and that exists. Prove Use this to prove that if (0) = (1) = 0 and (x) =

Assume that ƒ(0) = ƒ(1) = 0 and that ƒ"exists. Prove

Use this to prove that if ƒ(0) = ƒ(1) = 0 and ƒ"(x) = λ ƒ(x) for some constant λ, then λ

[ f(x)f(x) dx = -f f'(x)7 dx