T denotes a fixed length of time fo = 1/T is a frequency for sound waves and m and n are DIFFERENT integers. Use integration by parts twice to evaluate the definite integral. Take the definite integral of: cos(2mfot)cos(2nfot)dt from 0 to T The answer should be 0, but I need to see how to get that. Thank you :) Solution Apply integration by parts by looking out for formula in wikipedia you will get two terms with include either sin(2m) or sin(2n) as m and n are both integers sin(2m) and sin(2n) will both go to zero and anything that multiply them will be zero and hence you will end up with an answer zero My previous answer is slighlty confusing because of typing constraints.