Show that for any continuous even function / defined on the interval \a, a\, we have J" f(x) dx = 2 io" /(x) dx.

M303 Section 4.1 Notes- Vector Spaces and Subspaces 10-24-16 Vector space - nonempty set of objects (vectors) on which addition and scalar multiplication are defined and subject to 10 axioms that must hold for all vectors ,, and scalars ,: o + o + = + o ( + + = + ( + ) o such that + = o For each , there exists a vector − such that + − = o o + = + o ( + = + o = ) o