HP 50g User Manual page 512

The calculator returns an integral that cannot be evaluated numerically because
it depends on the parameter n.
typing its definition in the calculator, i.e.,
⎛
1 1
∫
⎜
X EXP
⎝
0
2
where T = 2 is the period. The value of T can be stored using:
Typing the first integral above in the Equation Writer, selecting the entire
expression, and using @EVAL@, will produce the following:
in
Recall the e = cos(n ) + i sin(n ) = (-1)
result above we have:
The coefficient can still be calculated by
⎞
i 2 n X
⎟
⎠
T
1
2
dX
2
∫
2 ( X ) EXP
1
n
. Performing this substitution in the
⎛
i 2 n X
⎜
⎝
T
Page 16-35
⎞
⎟
dX
⎠