hp 49g+_user's guide_English_E_DCVL5300427_V2

Page 16-36
The calculator returns an integral that cannot be evaluated numerically
because it depends on the parameter n. The coefficient can still be
calculated by typing its definition in the calculator, i.e.,
+⋅






⋅⋅⋅⋅
−⋅⋅
∫
dX
T
Xni
EXPX
1
0
2
2
1 π
∫
⋅






⋅⋅⋅⋅
−⋅−⋅
2
1
2
)2(
2
1
dX
T
Xni
EXPX
π
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:
Recall the e
in
π
= cos(nπ) + i⋅sin(nπ) = (-1)
n
. Performing this substitution in the
result above we have: