pi / | | (pi - x)*cos(n*x) | ----------------- dx | 2 | / -pi
/ 2 | x | -- for n = 0 | 2 | |/-cos(n*x) <|---------- for n != 0 |< n || // x for n = 0\ // x for n = 0\ |\ 0 otherwise || | || | / |----------------------- otherwise pi*|
/pi*sin(pi*n) |------------ for And(n > -oo, n < oo, n != 0) | n < | 2 | pi otherwise \
=
/pi*sin(pi*n) |------------ for And(n > -oo, n < oo, n != 0) | n < | 2 | pi otherwise \
Use the examples entering the upper and lower limits of integration.