Question

fourier transformation of f(x)= x+1 when -1 12 years ago

Answer 1

\[\int\limits_{-1}^{0}(x+1)\cos(n pix)dx+\int\limits_{0}^{1}\cos(n pix)dx\]

Answer 2

so i got to this part but can i transform it into \[\int\limits_{-1}^{0}xcos(n pix)dx+2\int\limits_{0}^{1}\cos(n pix)dx\] so the later part would essentially be 0 and calculating the first term would get me 1-(-1)^n \[\frac{ 1-(-1)^{n} }{ n \pi }\]