Mathematics
Senior High
3番です。下線部のように積分が取れるんじゃないんですか?
礎問
170 第6章 積分法
93 対数関数の積分
次の定積分の値を求めよ.
(1) feloga dx
(3)
π
cos
cos xlog (sin x) dx
料明
d.x
xlog.x
(2) fe²-
(3)
x:
T
2
cos.
cos xlog (sin x) dx , sinx=t<
4
また,
のとき,t:
√2-1
・1
dt
dx
flog tdt=[t(logt-1)]
= cos x y dt=cos xdx
2
-1-(log1-1)-√2-(log√2-1)
√2
=-1+√2 √2 log2--1+¹/2+2
4
85
-log2
PARH
Cosa
a log (sinx) dx = [f cosse lagt - at
cosx
= Sf loft dt.
= 1/₂ (+ Moede
= tlagt-Ft € dt
= elagt - [t] //
- tlagt -/+ 2/2/
flogt +12=-2
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