Recent content by lil_luc

I need some help/hints on how to prove this statement. I don't know where to start! Prove that if m and n are positive integers such that m|n, then φ(mn) = mφ(n). Thanks

I'm sorry, I'm still a bit lost. Can you please explain what the Euler-Fermat theorem is and how I can apply that to this problem? Thanks

Can anyone give me hints to how to prove this?? Prove that for any positive integer n, n^5 and n have the same units digit in their base 10 representations; that is, prove that n^5 = n (mod 10). Thanks!

Thank you for the hint. I will try this out. I didn't think to separate it like that and do integration by parts. But I will give it a shot and let you know how that goes for me! =S

Hi there, I am having a hard time figuring out how to integrate cos(2x)^N where N=0,1,2... Can anyone give me and hints/tips on how to go about integrating this? Thanks!