→ Qmmm:A=3,B=2,C=1 219.70.179.171 12/10 22:06
: 2
: t
: 4.設I(t)=S sintx 3 2
: t ----- dx 則 I`(t)= Asint-Bsint
: x ----------
: Ct 求A.B.C 各為?
: 請神人幫忙@@
Leibnitz's Rule
d t^2 sin(tx)
I'(t) = ---- ∫ --------- dx
dt t x
t^2 d sin(tx) sin(t^3) sin(t^2)
= ∫ [--- ---------- ] dx + --------- (2t) - ---------- * 1
t dt x t^2 t
t^2 2sin(t^3)-sin(t^2)
= ∫ costx dx + --------------------
t t
^^^^^^^^^^^^^^^^^^^^^
(1)
sin(tx) |x=t^2
= --------- | + (1)
t |x=t
3sin(t^3) - 2sin(t^2)
= ------------------------
t
--
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