 an odd function is even.The composition of any function with an even function is even (but not vice versa).The integral of an odd function from −A to +A is zero (where A is finite, and the function has no vertical asymptotes between −A and A).The integral of an even function from −A to +A is twice the integral from 0 to +A (where A is finite, and the function has no vertical asymptotes between −A and A).ශ්‍රේණි[සංස්කරණය]The Maclaurin series of an even function includes only even powers.The Maclaurin series of an odd function includes only odd powers.The Fourier series of a periodic even function includes only cosine terms.The Fourier series of a periodic odd function includes only sine terms.වීජීය වියුහය[සංස්කරණය]Any linear combination of even functions is even, and the even functions form a vector space over the reals. Similarly, any linear combination of odd functions is odd, and the odd functions also form a vector space over the reals. In fact, the vector space of all re